1. The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.2 seconds and a standard deviation of 0.1 seconds. 1‐1. (2 points) What is the probability that a reaction requires more than 0.5 seconds? 1‐2. (2 points) What is the probability that a reaction requires between 0.4 and 0.5 seconds? 1‐3. (2 points) What is the reaction time that is exceeded 95% of the time? 2. Spherical Uniform Distribution (Google! You do not have to explain why): 2‐1. (2 points) How can we pick a set of random points uniformly distributed on the unit circle x12 + x 2=1? 2‐2. (2 points) How can we pick a set of random points uniformly distributed on the 4‐dimensional unit 2 2 2 2 2 sphere x1 + x2 + x3 + x4 + x5 =1? 3. The random variable X has a binomial distribution with n = 19 and p = 0.4. Determine the following probabilities. (You may use computer. But, you have to show the formula.) 3‐1. (2 points) P(X ≤ 12) 3‐2. (2 points) P(X ≥ 18) 3‐3. (2 points) P(13 ≤ X < 15) 4. (2 points) Show the mean and the variance of the triangular distribution with lower limit a, upper limit b and mode c, where a < b and a ≤ c ≤ b. (You must show why.) 5. (2 points) An electronic office product contains 5000 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 10 or more of the original 5000 components fail during the useful life of the product. 6. Consider the following system made up of functional components in parallel and series. C2 0.80 C1 0.90 C4 0.95 C3 0.85 6‐1. (2 points) What is the probability that the system operates? 6‐2. (2 points) What is the probability that the system fails due to the components in series? Assume parallel components do not fail. 6‐3. (2 points) What is the probability that the system fails due to the components in parallel? Assume series components do not fail. 6‐4. (2 points) Compute and compare the probabilities that the system fails when the probability that component C1 functions is improved to a value of 0.95 and when the probability that component C2 functions is improved to a value of 0.85. Which improvement increases the system reliability more? 7. (2 points) Suppose that the joint distribution of X and Y has probability density function f(x, y) = 0.25xy for 0 < x < 2 and 0 < y < 2. Compute V(2X + 3Y). (Show all your work.)

## 1. The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.2 seconds and a standard deviation of 0.1 seconds. 1‐1. (2 points) What is the probability that a reaction requires more than 0.5 seconds? 1‐2. (2 points) What is the probability that a reaction requires between 0.4 and 0.5 seconds? 1‐3. (2 points) What is the reaction time that is exceeded 95% of the time? 2. Spherical Uniform Distribution (Google! You do not have to explain why): 2‐1. (2 points) How can we pick a set of random points uniformly distributed on the unit circle x12 + x 2=1? 2‐2. (2 points) How can we pick a set of random points uniformly distributed on the 4‐dimensional unit 2 2 2 2 2 sphere x1 + x2 + x3 + x4 + x5 =1? 3. The random variable X has a binomial distribution with n = 19 and p = 0.4. Determine the following probabilities. (You may use computer. But, you have to show the formula.) 3‐1. (2 points) P(X ≤ 12) 3‐2. (2 points) P(X ≥ 18) 3‐3. (2 points) P(13 ≤ X < 15) 4. (2 points) Show the mean and the variance of the triangular distribution with lower limit a, upper limit b and mode c, where a < b and a ≤ c ≤ b. (You must show why.) 5. (2 points) An electronic office product contains 5000 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 10 or more of the original 5000 components fail during the useful life of the product. 6. Consider the following system made up of functional components in parallel and series. C2 0.80 C1 0.90 C4 0.95 C3 0.85 6‐1. (2 points) What is the probability that the system operates? 6‐2. (2 points) What is the probability that the system fails due to the components in series? Assume parallel components do not fail. 6‐3. (2 points) What is the probability that the system fails due to the components in parallel? Assume series components do not fail. 6‐4. (2 points) Compute and compare the probabilities that the system fails when the probability that component C1 functions is improved to a value of 0.95 and when the probability that component C2 functions is improved to a value of 0.85. Which improvement increases the system reliability more? 7. (2 points) Suppose that the joint distribution of X and Y has probability density function f(x, y) = 0.25xy for 0 < x < 2 and 0 < y < 2. Compute V(2X + 3Y). (Show all your work.)

info@checkyourstudy.com Whatsapp +919711743277
Homework 4 – Construction and Water Management 80 points total Refer to Lecture 6a – Construction Part I, 6b – Construction Part II, and Chapter 6 in your textbook. 1. What is the difference between an owner, a design professional, and a constructor? (6 points) 2. Briefly explain the process of ‘Design-bid-build’ construction. How is it different than a ‘design-build’ type of project? (6 points) 3. Describe, in at least one sentence, the main function of the following construction equipment (2 points each): a. Crane b. Skidsteer c. Excavator d. Backhoe e. Grader f. Pile driver 4. What are 5 major components of a construction staging plan? (5 points) 5. What are 5 administrative controls used for environmental management on a construction site? (For example: protecting native plants) (5 points) 6. Explain the major differences between scaffolding, falsework, and formwork. (6 points) Refer to Lecture 7a, slides 11, 12, & 13 and pages 165-166 in your textbook for background information on using the Rational Method for flowrate calculations. 7. The Bush library park is planted with native grasses and is 15 acres in size. Assume the drainage system was designed to handle a 1-hour storm of 100-year-storm magnitude. The intensity data for different storm events for Dallas County can be found in this document, on page 6: http://iswm.nctcog.org/Documents/archives/site_development_manual/Appendices.pdf a. What is the expected flowrate for the native park area, calculated using the Rational Method? The runoff coefficient for the park can be approximated as 0.10. (6 points) b. What would be the design flowrate if they had paved over the area to create a large parking lot, instead of the park? Assume the runoff coefficient of concrete to be 0.92. (6 points) 8. Refer to page 94 in your textbook. What are four common urban stormwater pollutants and their possible sources? What are the possible impacts from each pollutant to receiving waters? (12 points) Refer to slides 6, 7, and 8 of Lecture 7b, and your in-class assignment for the following question. 9. What is the horizontal pressure force from water stored behind a dam wall if the dam is filled to capacity at 425ft? How high up from the bottom of the dam does the force act? (10 points) Read the following article and answer the question below: http://news.nationalgeographic.com/news/2006/06/060609-gorges-dam_2.html 10. What are three negative environmental, social, or political impacts in China from the Three Gorges Dam? What are three positive impacts? (6 points)

## Homework 4 – Construction and Water Management 80 points total Refer to Lecture 6a – Construction Part I, 6b – Construction Part II, and Chapter 6 in your textbook. 1. What is the difference between an owner, a design professional, and a constructor? (6 points) 2. Briefly explain the process of ‘Design-bid-build’ construction. How is it different than a ‘design-build’ type of project? (6 points) 3. Describe, in at least one sentence, the main function of the following construction equipment (2 points each): a. Crane b. Skidsteer c. Excavator d. Backhoe e. Grader f. Pile driver 4. What are 5 major components of a construction staging plan? (5 points) 5. What are 5 administrative controls used for environmental management on a construction site? (For example: protecting native plants) (5 points) 6. Explain the major differences between scaffolding, falsework, and formwork. (6 points) Refer to Lecture 7a, slides 11, 12, & 13 and pages 165-166 in your textbook for background information on using the Rational Method for flowrate calculations. 7. The Bush library park is planted with native grasses and is 15 acres in size. Assume the drainage system was designed to handle a 1-hour storm of 100-year-storm magnitude. The intensity data for different storm events for Dallas County can be found in this document, on page 6: http://iswm.nctcog.org/Documents/archives/site_development_manual/Appendices.pdf a. What is the expected flowrate for the native park area, calculated using the Rational Method? The runoff coefficient for the park can be approximated as 0.10. (6 points) b. What would be the design flowrate if they had paved over the area to create a large parking lot, instead of the park? Assume the runoff coefficient of concrete to be 0.92. (6 points) 8. Refer to page 94 in your textbook. What are four common urban stormwater pollutants and their possible sources? What are the possible impacts from each pollutant to receiving waters? (12 points) Refer to slides 6, 7, and 8 of Lecture 7b, and your in-class assignment for the following question. 9. What is the horizontal pressure force from water stored behind a dam wall if the dam is filled to capacity at 425ft? How high up from the bottom of the dam does the force act? (10 points) Read the following article and answer the question below: http://news.nationalgeographic.com/news/2006/06/060609-gorges-dam_2.html 10. What are three negative environmental, social, or political impacts in China from the Three Gorges Dam? What are three positive impacts? (6 points)

info@checkyourstudy.com Whatsapp +919911743277

ENGR 3300: Fluid Mechanics, Fall 2015 Assignment 3 Due: Friday, Oct. 2, 2015 Topics: Chapter 3 & 4 Solutions must be neatly written and must include the following steps (if applicable) to receive full credit. 1. Given: List all known parameters in the problem. 2. Find: List what parameters the problem is asking you to find. 3. Solution: List all equations needed to solve the problem, and show all your work. Draw any necessary sketches or free body diagrams. Circle or box your final answer, and make sure to include appropriate units in your final answer. Grading: 15 total points (10 points for completeness + 5 points for one randomly chosen problem graded for correctness) 1. Water flows at a steady rate up a vertical pipe and out a nozzle into open air. The pipe diameter is 1 inch and the nozzle diameter is 0.5 inches. (a) Determine the minimum pressure that would be required at section 1 (shown in the figure below) to produce a fluid velocity of 30 ft/s at the nozzle (section 2). (b) If the pipe was inverted, determine the minimum pressure that would be required at section 1 to maintain the 30 ft/s velocity at the nozzle. 2. Water flows from a large tank through a small pipe with a diameter of 5 cm. A mercury manometer is placed along the pipe. Assuming the flow is frictionless, (a) estimate the velocity of the water in the pipe and (b) determine the rate of discharge (i.e. volumetric flow rate) from the tank. 3. An engineer is designing a suit for a race car driver and wants to supply cooling air to the suit from an air inlet on the body of the race car. The air speed at the inlet location must be 65 mph when the race car is traveling at 230 mph. Under these conditions, what would be the static pressure at the proposed inlet location? 4. Air flows downward toward a horizontal flat plate. The velocity field is given by ? = (??! − ??!)(2 + cos ??) where a = 5 s-1, ω = 2π s-1, and x and y (measured in meters) are horizontal and vertically upward, respectively, and t is in seconds. (a) Obtain an algebraic equation for a streamline at t = 0. (b) Plot the streamline that passes through point (x,y) = (3,3) at this instant.

## ENGR 3300: Fluid Mechanics, Fall 2015 Assignment 3 Due: Friday, Oct. 2, 2015 Topics: Chapter 3 & 4 Solutions must be neatly written and must include the following steps (if applicable) to receive full credit. 1. Given: List all known parameters in the problem. 2. Find: List what parameters the problem is asking you to find. 3. Solution: List all equations needed to solve the problem, and show all your work. Draw any necessary sketches or free body diagrams. Circle or box your final answer, and make sure to include appropriate units in your final answer. Grading: 15 total points (10 points for completeness + 5 points for one randomly chosen problem graded for correctness) 1. Water flows at a steady rate up a vertical pipe and out a nozzle into open air. The pipe diameter is 1 inch and the nozzle diameter is 0.5 inches. (a) Determine the minimum pressure that would be required at section 1 (shown in the figure below) to produce a fluid velocity of 30 ft/s at the nozzle (section 2). (b) If the pipe was inverted, determine the minimum pressure that would be required at section 1 to maintain the 30 ft/s velocity at the nozzle. 2. Water flows from a large tank through a small pipe with a diameter of 5 cm. A mercury manometer is placed along the pipe. Assuming the flow is frictionless, (a) estimate the velocity of the water in the pipe and (b) determine the rate of discharge (i.e. volumetric flow rate) from the tank. 3. An engineer is designing a suit for a race car driver and wants to supply cooling air to the suit from an air inlet on the body of the race car. The air speed at the inlet location must be 65 mph when the race car is traveling at 230 mph. Under these conditions, what would be the static pressure at the proposed inlet location? 4. Air flows downward toward a horizontal flat plate. The velocity field is given by ? = (??! − ??!)(2 + cos ??) where a = 5 s-1, ω = 2π s-1, and x and y (measured in meters) are horizontal and vertically upward, respectively, and t is in seconds. (a) Obtain an algebraic equation for a streamline at t = 0. (b) Plot the streamline that passes through point (x,y) = (3,3) at this instant.

1. The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.2 seconds and a standard deviation of 0.1 seconds. 1‐1. (2 points) What is the probability that a reaction requires more than 0.5 seconds? 1‐2. (2 points) What is the probability that a reaction requires between 0.4 and 0.5 seconds? 1‐3. (2 points) What is the reaction time that is exceeded 95% of the time? 2. Spherical Uniform Distribution (Google! You do not have to explain why): 2‐1. (2 points) How can we pick a set of random points uniformly distributed on the unit circle x12 + x 2=1? 2‐2. (2 points) How can we pick a set of random points uniformly distributed on the 4‐dimensional unit 2 2 2 2 2 sphere x1 + x2 + x3 + x4 + x5 =1? 3. The random variable X has a binomial distribution with n = 19 and p = 0.4. Determine the following probabilities. (You may use computer. But, you have to show the formula.) 3‐1. (2 points) P(X ≤ 12) 3‐2. (2 points) P(X ≥ 18) 3‐3. (2 points) P(13 ≤ X < 15) 4. (2 points) Show the mean and the variance of the triangular distribution with lower limit a, upper limit b and mode c, where a < b and a ≤ c ≤ b. (You must show why.) 5. (2 points) An electronic office product contains 5000 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 10 or more of the original 5000 components fail during the useful life of the product. 6. Consider the following system made up of functional components in parallel and series. C2 0.80 C1 0.90 C4 0.95 C3 0.85 6‐1. (2 points) What is the probability that the system operates? 6‐2. (2 points) What is the probability that the system fails due to the components in series? Assume parallel components do not fail. 6‐3. (2 points) What is the probability that the system fails due to the components in parallel? Assume series components do not fail. 6‐4. (2 points) Compute and compare the probabilities that the system fails when the probability that component C1 functions is improved to a value of 0.95 and when the probability that component C2 functions is improved to a value of 0.85. Which improvement increases the system reliability more? 7. (2 points) Suppose that the joint distribution of X and Y has probability density function f(x, y) = 0.25xy for 0 < x < 2 and 0 < y < 2. Compute V(2X + 3Y). (Show all your work.)

## 1. The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.2 seconds and a standard deviation of 0.1 seconds. 1‐1. (2 points) What is the probability that a reaction requires more than 0.5 seconds? 1‐2. (2 points) What is the probability that a reaction requires between 0.4 and 0.5 seconds? 1‐3. (2 points) What is the reaction time that is exceeded 95% of the time? 2. Spherical Uniform Distribution (Google! You do not have to explain why): 2‐1. (2 points) How can we pick a set of random points uniformly distributed on the unit circle x12 + x 2=1? 2‐2. (2 points) How can we pick a set of random points uniformly distributed on the 4‐dimensional unit 2 2 2 2 2 sphere x1 + x2 + x3 + x4 + x5 =1? 3. The random variable X has a binomial distribution with n = 19 and p = 0.4. Determine the following probabilities. (You may use computer. But, you have to show the formula.) 3‐1. (2 points) P(X ≤ 12) 3‐2. (2 points) P(X ≥ 18) 3‐3. (2 points) P(13 ≤ X < 15) 4. (2 points) Show the mean and the variance of the triangular distribution with lower limit a, upper limit b and mode c, where a < b and a ≤ c ≤ b. (You must show why.) 5. (2 points) An electronic office product contains 5000 electronic components. Assume that the probability that each component operates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 10 or more of the original 5000 components fail during the useful life of the product. 6. Consider the following system made up of functional components in parallel and series. C2 0.80 C1 0.90 C4 0.95 C3 0.85 6‐1. (2 points) What is the probability that the system operates? 6‐2. (2 points) What is the probability that the system fails due to the components in series? Assume parallel components do not fail. 6‐3. (2 points) What is the probability that the system fails due to the components in parallel? Assume series components do not fail. 6‐4. (2 points) Compute and compare the probabilities that the system fails when the probability that component C1 functions is improved to a value of 0.95 and when the probability that component C2 functions is improved to a value of 0.85. Which improvement increases the system reliability more? 7. (2 points) Suppose that the joint distribution of X and Y has probability density function f(x, y) = 0.25xy for 0 < x < 2 and 0 < y < 2. Compute V(2X + 3Y). (Show all your work.)

info@checkyourstudy.com Whatsapp +919911743277