The manager of a computer retail store is concerned that his suppliers have been providing him with laptops of lower than average quality. His research shows that replacement times for the model laptop in question are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years. He then randomly selects records on 14 laptops sold in the past. Round the answers of the following questions to 4 decimal places.a. What is the distribution of \( X \)? \( X \sim N(\ \_\_\_\_\ ,\ \_\_\_\_\ ) \)b. What is the distribution of \( \bar{x} \)? \( \bar{x} \sim N(\ \_\_\_\_\ ,\ \_\_\_\_\ ) \)c. What is the probability that one randomly selected laptop is replaced in less than 3.1 years?d. For 14 laptops, find the probability that the average replacement time is less than 3.1 years.e. For part d), is the assumption of normality necessary? ☐ Yes ☐ No

Given,sample size(n)=14mean(μ)=3.3standard deviation(σ)=0.6

Answered: The manager of a computer retails store…

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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