i) Find the moment generating function of X = -cY. ii) What is the distribution of X?

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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c) Suppose that a random variable Y is uniformly distributed on an interval (0,1) and let c> 0 be
a constant.
i) Find the moment generating function of X = -cY.
ii) What is the distribution of X?
2| Page
Transcribed Image Text:c) Suppose that a random variable Y is uniformly distributed on an interval (0,1) and let c> 0 be a constant. i) Find the moment generating function of X = -cY. ii) What is the distribution of X? 2| Page
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Let X and Y be continuous random variables with a joint probability density function (pdf) of the form f(x,y) = (k(x+y), 0≤x≤y≤1 0, elsewhere Find:d) the conditional pdf of Y given X. e) E(Y|X = -1)

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