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The random Variable Y is the sum of the life expectancy of these parts. Find the distribution of Y. (Write specifically what distribution it is (e.g. Normal distribution, binomial distribution, etc.)) (2) Find the distribution of Z = (3) Use number (2) to find the (1 - α) × 100% of confidence interval of 2AY (e.g. normal distribution, binomial distribution, etc.)

The random Variable Y is the sum of the life expectancy of these parts. Find the distribution of Y. (Write specifically what distribution it is (e.g. Normal distribution, binomial distribution, etc.)) (2) Find the distribution of Z = (3) Use number (2) to find the (1 - α) × 100% of confidence interval of 2AY (e.g. normal distribution, binomial distribution, etc.)

MATLAB: An Introduction with Applications
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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There are ten identical parts. When the life span of each part follows Ga(r,λ)) and is independent to each other, answer the following questions. (1) The random variable Y is the sum of the life expectancy of these parts. Find the distribution of Y. (Write specifically what distribution it is (e.g.Normal distribution, binomial distribution, etc.)) (2) Find the distribution of Z = 2AY (e.g. normal distribution, binomial distribution, etc.) (3) Use number (2) to find the (1 - α) × 100% of confidence interval of A
Transcribed Image Text:There are ten identical parts. When the life span of each part follows Ga(r,λ)) and is independent to each other, answer the following questions. (1) The random variable Y is the sum of the life expectancy of these parts. Find the distribution of Y. (Write specifically what distribution it is (e.g.Normal distribution, binomial distribution, etc.)) (2) Find the distribution of Z = 2AY (e.g. normal distribution, binomial distribution, etc.) (3) Use number (2) to find the (1 - α) × 100% of confidence interval of A
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