A manufacturer claims that the replacement time for their CD players has a mean of 7 years and a standard deviation of 1.4 years. If this is true, find the probability that a) one randomly selected CD player is replaced in 6.2 years or less b) in a random sample of 30 CD players, the mean replacement time is 6.2 years or less c) In part b), are the assumptions of the Central Limit Theorem satisfied?  Explain

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
icon
Related questions
Question

2) A manufacturer claims that the replacement time for their CD players has a mean of 7 years and a standard deviation of 1.4 years. If this is true, find the probability that

a) one randomly selected CD player is replaced in 6.2 years or less

b) in a random sample of 30 CD players, the mean replacement time is 6.2 years or less

c) In part b), are the assumptions of the Central Limit Theorem satisfied?  Explain

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage