6.43 Critical part failures in NASCAR vehicles. Refer to The Sport Journal (Winter 2007) analysis of critical part fail- ures at NASCAR races, Exercise 5.106 (p. 271). Recall that researchers found that the time x (in hours) until the first critical part failure is exponentially distributed with μ.10 and σ = .10. Now, consider a random sample of n = 50 NASCAR races and let x represent the sample mean time until the first critical part failure. a. Find E(x) and Var(x). b. Although x has an exponential distribution, the sam- pling distribution of x is approximately normal. Why? c. Find the probability that the sample mean time until the first critical part failure exceeds .13 hour.
6.43 Critical part failures in NASCAR vehicles. Refer to The Sport Journal (Winter 2007) analysis of critical part fail- ures at NASCAR races, Exercise 5.106 (p. 271). Recall that researchers found that the time x (in hours) until the first critical part failure is exponentially distributed with μ.10 and σ = .10. Now, consider a random sample of n = 50 NASCAR races and let x represent the sample mean time until the first critical part failure. a. Find E(x) and Var(x). b. Although x has an exponential distribution, the sam- pling distribution of x is approximately normal. Why? c. Find the probability that the sample mean time until the first critical part failure exceeds .13 hour.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Make the explanation concise, if you can. I don't want to have to write more than a couple pages
Transcribed Image Text:6.43 Critical part failures in NASCAR vehicles. Refer to The
Sport Journal (Winter 2007) analysis of critical part fail-
ures at NASCAR races, Exercise 5.106 (p. 271). Recall
that researchers found that the time x (in hours) until the
first critical part failure is exponentially distributed with
μ.10 and σ = .10. Now, consider a random sample of
n = 50 NASCAR races and let x represent the sample
mean time until the first critical part failure.
a. Find E(x) and Var(x).
b. Although x has an exponential distribution, the sam-
pling distribution of x is approximately normal. Why?
c. Find the probability that the sample mean time until the
first critical part failure exceeds .13 hour.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman