Let X be a discrete random variable with the following PMF11for x=-28100for x = -1Px(x) =for x = 01for x = 1for x = 240otherwisea) Find E[X] and Var(X)b) Now we define a new random variableY = (x+1)², Find PMF of Y and E[Y]

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Answered: Let X be a discrete 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.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 30E

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Let X be a discrete random variable with the following PMF 1 1 for x=-2 8 100 for x = -1 Px(x) = for x = 0 1 for x = 1 for x = 2 4 0 otherwise a) Find E[X] and Var(X) b) Now we define a new random variableY = (x+1)², Find PMF of Y and E[Y]