Q1. Calculate E(Y) for the following pdfs: a. f(y) = 3(1 – y)², 0 < y < 1 b. f(y) = 4ye-2", y > 0

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Chapter1: Combinatorial Analysis
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Chapters: Expected value & Variance of a continuous random variable

 

 

 

 

 

Q1. Calculate E(Y) for the following pdfs:
a. f(y) = 3(1 – y)², 0 < y < 1
b. f(y) = 4ye-2y, y > 0
Q2. If Y has pdf f (y) = 2y for 0 < y < 1. Then E (Y) = -.
random variable W to be squared deviation of Y from its mean, that
is, W = (Y –5?. Find E (W).
Transcribed Image Text:Q1. Calculate E(Y) for the following pdfs: a. f(y) = 3(1 – y)², 0 < y < 1 b. f(y) = 4ye-2y, y > 0 Q2. If Y has pdf f (y) = 2y for 0 < y < 1. Then E (Y) = -. random variable W to be squared deviation of Y from its mean, that is, W = (Y –5?. Find E (W).
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