S. A manufacturer of digital recorders claims the distribution of life of its recorders can be described by a normal distribution with a mean of 2500 hours and variance of 40000 hours. (15%) a. What is the probability that a randomly selected digital recorder lasts more than 2250 hours? b. If two digital recorders are randomly selected, what is the probability of neither lasting more than 2250 hours? c. If my digital recorder lasted longer than 28% of all the digital recorders, exactly how many hours was the life of my digital recorder? d. What is the sampling distribution of the sample mean of 64 random observations from this population? Find the probability of sample mean being between 2490 and 2518. e. Would your results in parts a - d remain valid if the life of digital recorders did not have a normal distribution? Explain.

S. A manufacturer of digital recorders claims the distribution of life of its recorders can be described by a normal distribution with a mean of 2500 hours and variance of 40000 hours. (15%) a. What is the probability that a randomly selected digital recorder lasts more than 2250 hours? b. If two digital recorders are randomly selected, what is the probability of neither lasting more than 2250 hours? c. If my digital recorder lasted longer than 28% of all the digital recorders, exactly how many hours was the life of my digital recorder? d. What is the sampling distribution of the sample mean of 64 random observations from this population? Find the probability of sample mean being between 2490 and 2518. e. Would your results in parts a - d remain valid if the life of digital recorders did not have a normal distribution? Explain.

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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