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)
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.
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!
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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.
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?
Computer Project Overview You are to perform a 2D heat transfer simulation of the thermal system shown in the schematic below. All items, including justification, plots, and code must be put WITHIN A SINGLE WORD DOCUMENT, USING THE FILENAME “lastname.firstname”. Your document must be submitted into Safeassign in bblearn (in the computer project folder) by the date/time listed above. You will have the option of doing either of 2 different geometries for your simulation. The first geometry is easier, but will have a maximum possible score of 80%. The other geometry is more complex and is the only way to get a full 100% on the project. Your code must be able to handle any mesh size that is a multiple of 10 (e.g. 10×10, 20×20, etc). Code that does not allow a variable mesh size will result in a zero grade for the project. This project may or may not be painful, but I assign it because this is the direction that engineering (not just heat transfer) is going. Additionally, many students have expressed appreciation for the project, although for most of them that was after the fact. I include a couple quotes below from previous students who emailed me after graduating: “My mentor, who is the Lead Engineer for the testing group at Orbital, was SUPER impressed when I told him about the MATLAB project I did for heat transfer. My tears and extra gray hairs were worth it. Tell that to the new seniors when they whine about the project next year. “ “side note, i learned A LOT. i knew very little about matlab prior to this. thank you” “I gotta say though, I think the main thing that pushed me into the realm of being qualified for this job is my capability in Matlab. Your HT project you had all of us do was paramount in kicking me into gear.” Deliverables Your submitted document must contain all of the following: A one paragraph justification of how you know that your simulation is valid. Your justification must address EACH of the following tests: o Heat flows on each individual node should add up to 0 on every node (note: if done correctly, your sums should be something like 10-10) o Net heat flow summed over the boundaries of your simulation should match the heat generated in the system (again, if correct these sums should match within 10-10) o Your temperature profile should match what is physically expected given EACH of the prescribed boundary conditions (describe SPECIFICALLY what EACH boundary condition should do to the temperature profile, and verify that this is reflected in your 3D temperature map) o Doubling your mesh density should not affect your solution (i.e. your calculated heat flows) by more than 0.5% o If you do not get a reasonable answer, show how your solution is NOT valid and discuss HOW you would use these to check whether your code is valid A table listing the quantity of heat transfer per unit depth along each of the non-insulated edges, using a positive value for heat transfer into the solid and negative for heat transfer out of the solid. This should be the TOTAL (summed) heat transfer along each edge. A 3D projection of the temperature distribution (the ‘surf’ command may prove useful), arranged in a way that clearly shows the full temperature distribution, in the correct orientation. Plots of the temperature profiles along each of the edges. Put these together into a single figure with a 3×2 subplot (not a single plot) using the subplot command. Begin with the bottom edge, then work your way clockwise around the geometry. The code you wrote to complete the project Deadlines While there are no deliverables associated with the deadlines below other than the final submission, I will not provide assistance to you on the listed subtasks after their associated deadlines, unless it is during my normal office hours AND there is no one else waiting to ask questions. Also make use of the Finite Difference Overview, MATLAB primer, and tips document which are posted in bblearn. Deadlines o Deadline 1: 11/11/2015. By this time, you should have done the following: Make sure you understand how FD simulations work, by a) reviewing your lecture notes; b) reading Chapter 4 of your textbook; and c) reviewing the Finite Difference Overview posted in bblearn Chosen a numbering scheme for your nodes (where is node ‘1’, how do the nodes increment, etc.) Identified each of the ‘types’ of nodes present and determined the appropriate energy balance relation for each of them Determined the LOGIC to identify the node ‘type’ for an arbitrary node number ‘i’ (based on your numbering scheme and the size of the mesh ‘n’) For a given arbitrary node ‘i’, have a way of identifying the node numbers of all neighboring nodes using only ‘i’ and ‘n’. Written pseudocode that shows the logic of your program. If you do not have pseudocode, I cannot help you with your coding. o Deadline 2: 11/18/2015. By this time, you should have done the following: Have code that can identify the node numbers for all neighboring nodes for an arbitrary node ‘i’ (this will probably involve a series of ‘if’ statements) Have code that can identify which energy balance equation should be applied for any arbitrary node ‘i’ (again, this will probably involve a series of ‘if’ statements) o Deadline 3: 11/20/2015. By this time, you should have done the following: Have code that correctly populates the coefficient matrix and ‘b’ vector by: Iterating through every node Determining which energy balance equation should be applied for each node Determining the appropriate columns for the coefficients of the energy balance equation (this comes from knowing the node numbers for all neighboring nodes) Have code that calculates the temperature distribution from the coefficient matrix and ‘b’ vector o Deadline 4: 11/20/2015. FINAL SUBMISSION. This week should be dedicated to: Creating the required plots Calculating the required heat flows Validating/verifying your simulation Plagiarism Note that this is an INDIVIDUAL project. While you may collaborate, you may NOT share code. Two people independently writing code will NEVER end up with the same code at the end of the day. Merely changing variable names or comments is not sufficient. I have been continuously impressed at how good the plagiarism checking software is at picking out copied code, both from other students and from internet sources. Plagiarized code from any class, past or present, will result in a severely reduced score (potentially a zero) and a report of academic dishonesty. Moreover, presenting results that were not obtained by your code will result in a zero grade and a report of academic dishonesty. Please do not test this – I derive no joy from catching people in plagiarism. Grading The grade breakdown will be as follows: Report: 30 pts o 20 pts: Justification of the validity of your code o 5 pts: required plots shown in report o 5 pts: required heat transfer values shown in table Code: 70 pts (50 pts max if you choose the easier geometry) o 45 pts (35 for easier geometry): coefficient matrix generation o 15 pts: (10 for easier geometry): calculation of heat transfer on edges o 10 pts (5 for easier geometry): temperature matrix and correct surface plot Subtractions: o Up to -10 points for grammar and writing clarity o -5 points for using imaginary nodes (for the harder geometry) o -5 points for incorrect file name and file format o -5 points/day late (no more than 6 days allowed) o Up to 100% deduction for plagiarized code o 100% deduction for reporting results not generated by your submitted code o 100% deduction for submitting code that cannot handle a variable mesh size Skeleton Pseudocode The code listed below is intended to help you organize your thought process on this project. Feel free to use it or not as you see fit. However, if you do not follow this general approach, I will be unable to help you. ****** %Choose mesh size (e.g. n=10 for 10×10, 20 for 20×20, etc.) %Calculate number of nodes (probably something related to n2) %Run a for loop to define all the nodetypes and put them in their proper location for i=1:allnodes if i == xxxxx %use if statements (may need more than one) to determine where node ‘i’ is %e.g. left boundary, bottom right corner, etc. Should be able to determine %using only i and n %Must be node type 1 (for example) Nodetype(i) = 1 elseif i==xxxxx %use if statements to determine where node ‘i’ is %must be node type 2 (for example) Nodetype(i) = 2 elseif i ==xxxx %continue for all node types end end %Run a single for loop to populate the coefficient matrix one row at a time for i =1:allnodes if nodetype (i) == 1 %use energy balance equation for node type 1 %put appropriate coefficients into the correct columns of row i for coefficient %matrix and b vector elseif nodetype(i) ==2 %use energy balance equation for node type 2 %etc., etc. end end %coefficient matrix and b vector should now be populated. Solve for T values %rearrange T values into matrix to make surface plot %verify sum of qin to each node adds to 0 %calculate heat flows on edges, verify that it matches generation %make edge plots Project Geometries Easier Geometry (Max Score is 80/100) The overall size is 1mx1m. The geometry is designed to work with any mesh size that is a multiple of 10×10. Harder Geometry The overall size is 1mx1m. The geometry is designed to work with any mesh size that is a multiple of 10×10.
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.