3. The probability density function for mechanical component is given by: fT(t) = 1/(b-a) when t <=a<=b = 0; elsewhere Determine: • Cumulative distribution of the failures (5 points) • Reliability of the components (5 points) • Hazard rate for the components (5 points) • Mean, standard deviation of the failure distribution and reliability of components at the end of 2 years, when c=0.0025 (5 points) • Plot the probability density function, probability time distribution function, Reliability function and Hard Rate function for the given distribution when a=6000 and b=12000 (5 points)

3. The probability density function for mechanical component is given by: fT(t) = 1/(b-a) when t <=a<=b = 0; elsewhere Determine: • Cumulative distribution of the failures (5 points) • Reliability of the components (5 points) • Hazard rate for the components (5 points) • Mean, standard deviation of the failure distribution and reliability of components at the end of 2 years, when c=0.0025 (5 points) • Plot the probability density function, probability time distribution function, Reliability function and Hard Rate function for the given distribution when a=6000 and b=12000 (5 points)

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A novel on the Amazon.com website has the following ratings, in number of stars, from reviewers: Number of Stars Frequency 1 7 2 4 3 20 4 9 5 10 What is the mean of this distribution? A) 2.57 B) 3.22 C) 3.76 D) 3.85

A novel on the Amazon.com website has the following ratings, in number of stars, from reviewers: Number of Stars Frequency 1 7 2 4 3 20 4 9 5 10 What is the mean of this distribution? A) 2.57 B) 3.22 C) 3.76 D) 3.85

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8. value: 10.00 points The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting Inc., during the first quarter of 2013. Frequent Flier Miles (000) Number of Employees 0 up to 4 5 4 up to 8 13 8 up to 12 22 12 up to 16 7 16 up to 20 4 ________________________________________ ________________________________________ Total 51 ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________ a. How many employees were studied? Number of employees b. What is the midpoint of the first class? (Round your answer to 1 decimal place.) Midpoint d. A frequency polygon is to be drawn. What are the coordinates of the plot for the second class? , References eBook & 9. value: 10.00 points The following cumulative frequency polygon shows the hourly wages of a sample of certified welders in the Atlanta, Georgia, area. a. How many welders were studied? Number of welders b. What is the class interval? Class interval c. About how many welders earn less than $26 per hour? Number of welders d. About 80% of the welders make less than what amount? Amount e. Twenty of the welders studied made less than what amount? Amount f. What percent of the welders make less than $23 per hour? Percent of welders 10. value: 10.00 points The following is the number of minutes to commute from home to work for a group of 25 automobile executives. 28 25 45 37 41 19 32 25 17 23 23 28 36 31 25 20 32 25 32 43 35 42 38 32 28 a. How many classes would you recommend? Number of classes b. What class interval would you suggest? (Round up your answer to the next whole number.) Class interval c. Organize the data and plot a frequency distribution on a piece of paper. Comment on the shape of the frequency distribution.

8. value: 10.00 points The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting Inc., during the first quarter of 2013. Frequent Flier Miles (000) Number of Employees 0 up to 4 5 4 up to 8 13 8 up to 12 22 12 up to 16 7 16 up to 20 4 ________________________________________ ________________________________________ Total 51 ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________ a. How many employees were studied? Number of employees b. What is the midpoint of the first class? (Round your answer to 1 decimal place.) Midpoint d. A frequency polygon is to be drawn. What are the coordinates of the plot for the second class? , References eBook & 9. value: 10.00 points The following cumulative frequency polygon shows the hourly wages of a sample of certified welders in the Atlanta, Georgia, area. a. How many welders were studied? Number of welders b. What is the class interval? Class interval c. About how many welders earn less than $26 per hour? Number of welders d. About 80% of the welders make less than what amount? Amount e. Twenty of the welders studied made less than what amount? Amount f. What percent of the welders make less than $23 per hour? Percent of welders 10. value: 10.00 points The following is the number of minutes to commute from home to work for a group of 25 automobile executives. 28 25 45 37 41 19 32 25 17 23 23 28 36 31 25 20 32 25 32 43 35 42 38 32 28 a. How many classes would you recommend? Number of classes b. What class interval would you suggest? (Round up your answer to the next whole number.) Class interval c. Organize the data and plot a frequency distribution on a piece of paper. Comment on the shape of the frequency distribution.

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plot three diagram for (graphical of exponential distribution) (graphical of normal distribution) (graphical of lognormal distribution) The question about: In study of a new insecticide, 20 insects are exposed. Survival times in seconds are 3,5,6,7,8,9,10,10,12,15,15,18,19,20,22,25,28,30,40,60. Use the plotting position formula (i-.5/n) and test fit using graphical methods for lognormal, exponential and normal distribution

plot three diagram for (graphical of exponential distribution) (graphical of normal distribution) (graphical of lognormal distribution) The question about: In study of a new insecticide, 20 insects are exposed. Survival times in seconds are 3,5,6,7,8,9,10,10,12,15,15,18,19,20,22,25,28,30,40,60. Use the plotting position formula (i-.5/n) and test fit using graphical methods for lognormal, exponential and normal distribution

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INEN 415 Simulation Lab 6 Fall 2015 Due Date: November 24th, 2015 (Submit via Blackboard) Description A small pizza delivery outlet in a busy metro area opens only for the lunch and dinner hours; for lunch from 11AM to 4PM and for dinner from 6PM to 11PM. Orders for single pizzas (no other orders are accepted) arrive with an inter-arrival time that is exponentially distributed with a mean of 3.25 minutes. (Need to create a rate table, see lab 5) The inside operations are handled by an OrderTaker, two IronChef, and an OvenMeister named Cruz. The outlet has one oven with a capacity of five pizzas. Two drivers driving Mustangs handle the deliveries. Timmy takes orders (for order-taking assume a triangular distribution with parameters 1, 2, 3 minutes). The IronChefs make the pizza including adding of toppings (assume a triangular distribution with parameters 2, 2.5, 3 minutes). When the pizza is made (but not cooked), the IronChefs places it in a Load Area in front of the oven. Cruz picks up the pizza from the Load Area and places the pizza in the oven (assume a triangular distribution with parameters 10, 15, 20 seconds) (Cruz is a worker) The cook time in the oven requires 15 minutes (fixed), and does not require any supervision; a buzzer alerts Cruz whenever any pizza has completed its oven time. When the pizza has cooked in the oven, Cruz takes the pizzas out of the oven (assume a triangular distribution with parameters 10, 15, 20 seconds). He carries the pizza to the Box Area. Where Cruz boxes the pizza (assume a triangular distribution with parameters 30, 45, 60 seconds) and leaves it in an area for the delivery people, who can transport a maximum of 5 pizzas (Triangular 10,20,30). Note: Cruz moves between Load Area, Oven, and Box Area. Assume travel times are negligible. Drivers take the pizza to the sink. Run model for 16 hours to ensure all pizzas are made. Simulate operations for one day using two scenarios: 1. The data as given above. 2. Inter-arrival rate decreases to 3 minutes.   Deliverable(s) I. Objectives a. Clearly define the objective(s) of the project. II. System Description / Modeling Approach a. Describe the model (personnel, processes, etc.) III. Input Data Requirements a. Describe the data collected to be used in the model. IV. Simulation Model a. Simulation Model (Screen shot of SIMIO model) V. Results / Conclusions Compare the following statististics for the two scenarios in a table. 1. Number of pizzas delivered. 2. Utilization of the all three personnel types. 3. Time in System for an order. VI. Discussion a. Based on the data provided, will the system have issues? b. As the IE professional, suggest possible changes to the system and clearly explain why such changes may improve the process. Tutorials/Simbits 1. Workers using work schedule (Simbit) 2. Single Vehicle Usage (Simbit) 3. Check on YouTube, they have many videos that can help!

INEN 415 Simulation Lab 6 Fall 2015 Due Date: November 24th, 2015 (Submit via Blackboard) Description A small pizza delivery outlet in a busy metro area opens only for the lunch and dinner hours; for lunch from 11AM to 4PM and for dinner from 6PM to 11PM. Orders for single pizzas (no other orders are accepted) arrive with an inter-arrival time that is exponentially distributed with a mean of 3.25 minutes. (Need to create a rate table, see lab 5) The inside operations are handled by an OrderTaker, two IronChef, and an OvenMeister named Cruz. The outlet has one oven with a capacity of five pizzas. Two drivers driving Mustangs handle the deliveries. Timmy takes orders (for order-taking assume a triangular distribution with parameters 1, 2, 3 minutes). The IronChefs make the pizza including adding of toppings (assume a triangular distribution with parameters 2, 2.5, 3 minutes). When the pizza is made (but not cooked), the IronChefs places it in a Load Area in front of the oven. Cruz picks up the pizza from the Load Area and places the pizza in the oven (assume a triangular distribution with parameters 10, 15, 20 seconds) (Cruz is a worker) The cook time in the oven requires 15 minutes (fixed), and does not require any supervision; a buzzer alerts Cruz whenever any pizza has completed its oven time. When the pizza has cooked in the oven, Cruz takes the pizzas out of the oven (assume a triangular distribution with parameters 10, 15, 20 seconds). He carries the pizza to the Box Area. Where Cruz boxes the pizza (assume a triangular distribution with parameters 30, 45, 60 seconds) and leaves it in an area for the delivery people, who can transport a maximum of 5 pizzas (Triangular 10,20,30). Note: Cruz moves between Load Area, Oven, and Box Area. Assume travel times are negligible. Drivers take the pizza to the sink. Run model for 16 hours to ensure all pizzas are made. Simulate operations for one day using two scenarios: 1. The data as given above. 2. Inter-arrival rate decreases to 3 minutes.   Deliverable(s) I. Objectives a. Clearly define the objective(s) of the project. II. System Description / Modeling Approach a. Describe the model (personnel, processes, etc.) III. Input Data Requirements a. Describe the data collected to be used in the model. IV. Simulation Model a. Simulation Model (Screen shot of SIMIO model) V. Results / Conclusions Compare the following statististics for the two scenarios in a table. 1. Number of pizzas delivered. 2. Utilization of the all three personnel types. 3. Time in System for an order. VI. Discussion a. Based on the data provided, will the system have issues? b. As the IE professional, suggest possible changes to the system and clearly explain why such changes may improve the process. Tutorials/Simbits 1. Workers using work schedule (Simbit) 2. Single Vehicle Usage (Simbit) 3. Check on YouTube, they have many videos that can help!

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English 1 Professor Nielsen Essay One Topic and Guidelines The Context You are a non-profit organization Director of Fundraising, and your goal is to convince a wealthy individual to make a substantial donation to your cause. Choose from one of the following projects derived from the social issues from the course readings below: 1. The Prison Project: Reducing the incarceration rate and numbers in the U.S. 2. Birth Control Advocacy and Access: Supporting a birth control education and free product distribution in the U.S and/or internationally. 3. LGBT Advocacy: Funding education, campaigning, and lobbying for LGBT rights in the U.S. 4. Equality in Education: Supporting funding and scholarships for schools and individuals from less advantaged populations. 5. Migrant Welfare and Protection: Creating safe housing, food, and education for refugees. 6. Something else related to social justice?????? (See me if you have your own project idea). (animal welfare, women’s advocacy, housing, student loans and tuition affordability, etc.) Make a case for a donation of $2 million dollars to your cause by writing a funding request letter to the potential donor. This request is essentially a persuasive essay designed to convince your reader to support your cause. Below is a suggested format for organizing your letter, as well as guidelines for your work. I. The Basics Due: Tuesday, September 29, at Start of Class (Rough Draft). And Tuesday, October 6, at Start of Class (Final Draft) Length: 3-4 Pgs., double spaced in the correct format (see sample paper format template at the end of this document for format.) Font: Times New Roman, 12PT. Margins: 1 inch all around. See sample format at the end of this document for further formatting information. You are required to submit using this format. Check the sample on page five of this document carefully. Editing: Be sure to use the proofreading guide. In particular, avoid the big five errors. Revising: Read over your draft carefully several times. We will work toward revision together in class, but you will also need to revise on your own. Visit the Learning center if you need extra support. II. Organization and Content (Sample Outline Follows.) Use an organized format for your essay. The best way to ensure strong organization is to map out a plan for the content of your essay, using an outline, clustering, or other graphic representation of your key ideas. One potential format follows. Sample Method of Organizing Your Funding Letter: A. The Opening Paragraph 1. Start with some brief striking details to provide the initial background to your letter: facts, figures, brief description of one aspect of the problem- something compelling. 2. End your paragraph with a statement that briefly announces/introduces your organization without yet going into detail about your mission. State that you are requesting a donation and that your letter will describe the need for this donation. (Your Thesis) B. Body of the Letter: The Problem Make a stronger case for the problem your organization seeks to address by describing several aspects of it, using examples and details, as well as quotes from relevant class readings (be sure to cite these correctly). C. Body of the Letter: What Your Organization Will Do Describe some points of actions your group will take and ways that you will spend donor funds to address aspects of the problem you have already described. Choose three to five specific courses of action. Do not make these two extensive. They should be manageable and practical. D. Your Summary and Conclusion: Asking for Money 1. Briefly restate the problem and your organization’s goals using new wording when possible. 2. Connect the funds you need to your organization’s goals 3. Make your request for money. 4. End with a final compelling statement of why the donor should give. III. Strategies and Guidelines 1. Use the writing process steps to help you through your letter. 2. Use the proofreading guide to help you edit and the Learning Center on campus for support. 5. Cite all quotes with the author and page number. Create a works cited page at the end of your essay for the works you discuss. (See the MLA guide and sample student essays in your textbook for examples and step-by-step help with MLA. You may also pick up a guide at the campus writing center and ask them for extra help.) 6. This is NOT a research essay. Most background information should come from common knowledge, your own prior knowledge and experience, and the readings from class/the text. However, you may choose to include up one additional research source if necessary, provided this is a reliable source that you can cite correctly. Please visit OWL at Purdue University for a complete MLA citation guide. You text also has a chapter on MLA citation. 7. Follow the correct essay format for font, spacing, margins, heading, etc. (SEE sample in this document.) IV. Formatting: You are required to format your essay in the way that follows to receive full credit. • Page number in upper right-hand corner (Use “Insert” and “Pg. #”) • Times New Roman 12 Pt. font • Heading in left corner with title, student name, essay 1 (or 2, etc.), Eng 2, and date • Heading is single spaced • Skip two lines to start typing body of text • Body of text is double spaced • Margins remain at 1 inch all around. • DO NOT skip lines between paragraphs • Indent each paragraph five lines • Use MLA format for citation Continue to the next page for format sample. Title of Your Campaign Project (Choose something compelling.) Student Name Essay 1 English 1 Date Dear _______, Start typing your essay here, two lines down from heading. The body of your essay is double spaced, but the heading is only single spaced. Note the page number in the upper right-hand corner. Note the exact content of the heading. There is no title page for short essays, nor is there a title across the top. For short essays of just a few pages, this format is standard. The title goes at the top of the heading. All words in the title are capitalized except pronouns, prepositions, and articles. Do not make your margins greater that one inch. Make sure you use Times New Roman 12 Point font. Do not include graphics or images of any kind in most essays for this class (see me if you think you have an exception). When you reach the end of your paragraph, just hit return and continue typing. Do not skip lines between your paragraphs or over-indent your paragraphs; indent only five lines as marked in the ruler. Do not attempt to write less for your essay by enlarging the font, margins, or spacing. This paragraph demonstrates a good length for an introduction. You next paragraph should start here. This is the way your essay should look. You may use this template to help you format your essay by saving it to your desktop and keeping the settings. You will, of course, have two to three pages when you finish, but this is what the first page would look like roughly. If you include a quote, be sure to cite the author and page number and to include a works cited page at the end of your essay.

English 1 Professor Nielsen Essay One Topic and Guidelines The Context You are a non-profit organization Director of Fundraising, and your goal is to convince a wealthy individual to make a substantial donation to your cause. Choose from one of the following projects derived from the social issues from the course readings below: 1. The Prison Project: Reducing the incarceration rate and numbers in the U.S. 2. Birth Control Advocacy and Access: Supporting a birth control education and free product distribution in the U.S and/or internationally. 3. LGBT Advocacy: Funding education, campaigning, and lobbying for LGBT rights in the U.S. 4. Equality in Education: Supporting funding and scholarships for schools and individuals from less advantaged populations. 5. Migrant Welfare and Protection: Creating safe housing, food, and education for refugees. 6. Something else related to social justice?????? (See me if you have your own project idea). (animal welfare, women’s advocacy, housing, student loans and tuition affordability, etc.) Make a case for a donation of $2 million dollars to your cause by writing a funding request letter to the potential donor. This request is essentially a persuasive essay designed to convince your reader to support your cause. Below is a suggested format for organizing your letter, as well as guidelines for your work. I. The Basics Due: Tuesday, September 29, at Start of Class (Rough Draft). And Tuesday, October 6, at Start of Class (Final Draft) Length: 3-4 Pgs., double spaced in the correct format (see sample paper format template at the end of this document for format.) Font: Times New Roman, 12PT. Margins: 1 inch all around. See sample format at the end of this document for further formatting information. You are required to submit using this format. Check the sample on page five of this document carefully. Editing: Be sure to use the proofreading guide. In particular, avoid the big five errors. Revising: Read over your draft carefully several times. We will work toward revision together in class, but you will also need to revise on your own. Visit the Learning center if you need extra support. II. Organization and Content (Sample Outline Follows.) Use an organized format for your essay. The best way to ensure strong organization is to map out a plan for the content of your essay, using an outline, clustering, or other graphic representation of your key ideas. One potential format follows. Sample Method of Organizing Your Funding Letter: A. The Opening Paragraph 1. Start with some brief striking details to provide the initial background to your letter: facts, figures, brief description of one aspect of the problem- something compelling. 2. End your paragraph with a statement that briefly announces/introduces your organization without yet going into detail about your mission. State that you are requesting a donation and that your letter will describe the need for this donation. (Your Thesis) B. Body of the Letter: The Problem Make a stronger case for the problem your organization seeks to address by describing several aspects of it, using examples and details, as well as quotes from relevant class readings (be sure to cite these correctly). C. Body of the Letter: What Your Organization Will Do Describe some points of actions your group will take and ways that you will spend donor funds to address aspects of the problem you have already described. Choose three to five specific courses of action. Do not make these two extensive. They should be manageable and practical. D. Your Summary and Conclusion: Asking for Money 1. Briefly restate the problem and your organization’s goals using new wording when possible. 2. Connect the funds you need to your organization’s goals 3. Make your request for money. 4. End with a final compelling statement of why the donor should give. III. Strategies and Guidelines 1. Use the writing process steps to help you through your letter. 2. Use the proofreading guide to help you edit and the Learning Center on campus for support. 5. Cite all quotes with the author and page number. Create a works cited page at the end of your essay for the works you discuss. (See the MLA guide and sample student essays in your textbook for examples and step-by-step help with MLA. You may also pick up a guide at the campus writing center and ask them for extra help.) 6. This is NOT a research essay. Most background information should come from common knowledge, your own prior knowledge and experience, and the readings from class/the text. However, you may choose to include up one additional research source if necessary, provided this is a reliable source that you can cite correctly. Please visit OWL at Purdue University for a complete MLA citation guide. You text also has a chapter on MLA citation. 7. Follow the correct essay format for font, spacing, margins, heading, etc. (SEE sample in this document.) IV. Formatting: You are required to format your essay in the way that follows to receive full credit. • Page number in upper right-hand corner (Use “Insert” and “Pg. #”) • Times New Roman 12 Pt. font • Heading in left corner with title, student name, essay 1 (or 2, etc.), Eng 2, and date • Heading is single spaced • Skip two lines to start typing body of text • Body of text is double spaced • Margins remain at 1 inch all around. • DO NOT skip lines between paragraphs • Indent each paragraph five lines • Use MLA format for citation Continue to the next page for format sample. Title of Your Campaign Project (Choose something compelling.) Student Name Essay 1 English 1 Date Dear _______, Start typing your essay here, two lines down from heading. The body of your essay is double spaced, but the heading is only single spaced. Note the page number in the upper right-hand corner. Note the exact content of the heading. There is no title page for short essays, nor is there a title across the top. For short essays of just a few pages, this format is standard. The title goes at the top of the heading. All words in the title are capitalized except pronouns, prepositions, and articles. Do not make your margins greater that one inch. Make sure you use Times New Roman 12 Point font. Do not include graphics or images of any kind in most essays for this class (see me if you think you have an exception). When you reach the end of your paragraph, just hit return and continue typing. Do not skip lines between your paragraphs or over-indent your paragraphs; indent only five lines as marked in the ruler. Do not attempt to write less for your essay by enlarging the font, margins, or spacing. This paragraph demonstrates a good length for an introduction. You next paragraph should start here. This is the way your essay should look. You may use this template to help you format your essay by saving it to your desktop and keeping the settings. You will, of course, have two to three pages when you finish, but this is what the first page would look like roughly. If you include a quote, be sure to cite the author and page number and to include a works cited page at the end of your essay.

A three phase Y connected six pole synchronous generator has six slots per pole on its stator winding. The winding itself is a chorded (fractional pitch) double layer winding with eight turns per coil. The distribution factor kd=0.956 and the pitch factor kp=0.981. The flux in the generator is 0.02 Wb per pole and the speed of rotation is 1200 RPM. What is the line voltage produced by this generator at these conditions?

A three phase Y connected six pole synchronous generator has six slots per pole on its stator winding. The winding itself is a chorded (fractional pitch) double layer winding with eight turns per coil. The distribution factor kd=0.956 and the pitch factor kp=0.981. The flux in the generator is 0.02 Wb per pole and the speed of rotation is 1200 RPM. What is the line voltage produced by this generator at these conditions?

6. Elon Corporation manufactures parts for an aircraft company. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of ±.024 inch. The CNC process that manufacturers these parts has a mean of 1.281 inches and a standard deviation of 0.008 inch. Determine the proportion of parts outside the specifications. Assume Normal Distribution.

6. Elon Corporation manufactures parts for an aircraft company. It uses a computerized numerical controlled (CNC) machining center to produce a specific part that has a design (nominal) target of 1.275 inches with tolerances of ±.024 inch. The CNC process that manufacturers these parts has a mean of 1.281 inches and a standard deviation of 0.008 inch. Determine the proportion of parts outside the specifications. Assume Normal Distribution.

P(defect) = P(X<1.251) + P(X>1.299) = P(X<1.251) +1- P(X<1.299) = … Read More...