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4.34. A car collector has 9 cars. How many ways can this collector rank the top 3 most favored cars? a. 6 b. 84 c. 504

4.34. A car collector has 9 cars. How many ways can this collector rank the top 3 most favored cars? a. 6 b. 84 c. 504

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4.31. Five motors are run to failure. Failure times are 632 hours, 3450 hours, 816 hours, 928 hours, and 150 hours. What are the 90% symmetrical confidence limits for the mean time to failure? Assume an exponential distribution of time to failure. a. 1051 hours <0 <1942 hours b. 847 hours 8≤2650 hours c. 347 hours 0 ≤ 2650 hours d. 653 hours 0 ≤ 3033 hours 4.32. If a company monitors field reliability using both three month and yearly MTBF moving averages, a comparison of the averages will generally show that the yearly moving averages: a. Are greater than the 3 month values b. Are less than the 3 month values c. Vary more than the 3 month values d. Vary less than the 3 month values 4.33. A process which is in statistical control will: a. Produce product to specification b. Accommodate a plus and minus 1.5 sigma shift c. Result in a Cp value of 1.0 or better d. Consistently produce product which will fall within statistical control limits 4.34. A car collector has 9 cars. How many ways can this collector rank the top 3 most favored cars? a. 6 b. 84 c. 504 d. 60,480 4.35. A randomly selected sample of bicycle helmet was tested for impact resistance. Given the data results below, what is the 95% confidence interval for the mean bicycle helmet impact resistance? Test results: Sample size: 100 helmets Average impact resistance: 276 g Standard deviation of the measurements: 15 g a. 276 ± 29.4 g b. 276 ± 2.47 g c. 276 ± 2.94 g d. 276 ± 2.17 g 4.36. Acomponent follows a Weibull distribution with characteristic life (9) of 4,000 hours and shape of 2.0. What is the expected reliability after 2,000 hours of testing? a. 0.500 b. 0.591 c. 0.779 d. 0.856 4.39. 4.37. The distribution to apply to describe the time between occurrence of failures which occur independently and at a constant rate is the: a. Lognormal b. Exponential c. Weibull d. Extreme value 4.38. The hazard rate function of any continuous probability density function is: a. The reciprocal of the MTBF b. The instantaneous failure rate c. The probability of survival to time t d. The measure of safety for a given time period greater than zero Page A population of repairable components (having an exponential distribution of life) has a MTBF of 100 hours. What fraction of the components would fail if the population is operated in a 300 hour mission? (Failed components are not replaced) a. 95% b. 87% c. 69% d. 63% 4.40. The probability function of the binomial distribution is: a. b. * P(x) = (x)(1-P) p² P(x) = (2)(1-p) p² P(x) = (*)(1-P)** p* G. d. = (x)(1-P)™* p* P(x) =
Transcribed Image Text:4.31. Five motors are run to failure. Failure times are 632 hours, 3450 hours, 816 hours, 928 hours, and 150 hours. What are the 90% symmetrical confidence limits for the mean time to failure? Assume an exponential distribution of time to failure. a. 1051 hours <0 <1942 hours b. 847 hours 8≤2650 hours c. 347 hours 0 ≤ 2650 hours d. 653 hours 0 ≤ 3033 hours 4.32. If a company monitors field reliability using both three month and yearly MTBF moving averages, a comparison of the averages will generally show that the yearly moving averages: a. Are greater than the 3 month values b. Are less than the 3 month values c. Vary more than the 3 month values d. Vary less than the 3 month values 4.33. A process which is in statistical control will: a. Produce product to specification b. Accommodate a plus and minus 1.5 sigma shift c. Result in a Cp value of 1.0 or better d. Consistently produce product which will fall within statistical control limits 4.34. A car collector has 9 cars. How many ways can this collector rank the top 3 most favored cars? a. 6 b. 84 c. 504 d. 60,480 4.35. A randomly selected sample of bicycle helmet was tested for impact resistance. Given the data results below, what is the 95% confidence interval for the mean bicycle helmet impact resistance? Test results: Sample size: 100 helmets Average impact resistance: 276 g Standard deviation of the measurements: 15 g a. 276 ± 29.4 g b. 276 ± 2.47 g c. 276 ± 2.94 g d. 276 ± 2.17 g 4.36. Acomponent follows a Weibull distribution with characteristic life (9) of 4,000 hours and shape of 2.0. What is the expected reliability after 2,000 hours of testing? a. 0.500 b. 0.591 c. 0.779 d. 0.856 4.39. 4.37. The distribution to apply to describe the time between occurrence of failures which occur independently and at a constant rate is the: a. Lognormal b. Exponential c. Weibull d. Extreme value 4.38. The hazard rate function of any continuous probability density function is: a. The reciprocal of the MTBF b. The instantaneous failure rate c. The probability of survival to time t d. The measure of safety for a given time period greater than zero Page A population of repairable components (having an exponential distribution of life) has a MTBF of 100 hours. What fraction of the components would fail if the population is operated in a 300 hour mission? (Failed components are not replaced) a. 95% b. 87% c. 69% d. 63% 4.40. The probability function of the binomial distribution is: a. b. * P(x) = (x)(1-P) p² P(x) = (2)(1-p) p² P(x) = (*)(1-P)** p* G. d. = (x)(1-P)™* p* P(x) =
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