Let Y be a continuous random variable with√ ½ (2f(y) ==Find the mean (u) and variance (o²) of Y.(2−y),0≤ y ≤ 2elsewhere.

Method: integration of continuous distribution.The pdf of continuous random variable is:

Answered: Let Y be a continuous random variable…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 1E

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Let Y be a continuous random variable with f(y) = {1123 0, Find the mean (µ) and variance (0²) of Y. (2-y), 0≤ y ≤2 elsewhere.