The average number of miles (in thousands) that a car's tire will function before needing replacement is 73 and the standard deviation is 11. Suppose that 17 randomly selected tires are tested. Round all answers to 4 decimal places if necessary. a. What is the distribution of x? x ~ N( 73 11 b. What is the distribution of æ? x ~ N( 73 2.6679 V c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 71.8 and 75.3. d. For the 17 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 71.8 and 75.3.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
The average number of miles (in thousands) that a car's tire will function before needing replacement is
73 and the standard deviation is 11.
Suppose that 17 randomly selected tires are tested.
Round all answers to 4 decimal places if necessary.
a. What is the distribution of x?
x N N(I 73
11
b. What is the distribution of ?
~ N( 73
2.6679 /
c. If a randomly selected individual tire is tested, find the probability that the number of miles (in
thousands) before it will need replacement is between 71.8 and 75.3.
d. For the 17 tires tested, find the probability that the average miles (in thousands) before need of
replacement is between 71.8 and 75.3.
Transcribed Image Text:The average number of miles (in thousands) that a car's tire will function before needing replacement is 73 and the standard deviation is 11. Suppose that 17 randomly selected tires are tested. Round all answers to 4 decimal places if necessary. a. What is the distribution of x? x N N(I 73 11 b. What is the distribution of ? ~ N( 73 2.6679 / c. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 71.8 and 75.3. d. For the 17 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 71.8 and 75.3.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON