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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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