Let the joint discrete pmf X and Y be defined by x+y f(x,y) = 32 for x = 1, 2, y = {1,2,3,4} a.) Find marginal probability fx(x) of X. b.) Find marginal probability fy (Y) of Y. c.) Find P(XY) d.) Find P(Y2X) e.) Find P(X + Y = 3)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Let the joint discrete pmf X and Y be defined by
for x = 1,2, y = {1,2,3,4}
a.) Find marginal probability fx(x) of X.
b.) Find marginal probability fy (Y) of Y.
c.) Find P(XY)
d.) Find P(Y2X)
e.) Find P(X + Y = 3)
f.) Find E[X] and E[Y] and E[XY]
g.) Cov and correlation coefficient
x+y
f(x,y) =
32
Transcribed Image Text:Let the joint discrete pmf X and Y be defined by for x = 1,2, y = {1,2,3,4} a.) Find marginal probability fx(x) of X. b.) Find marginal probability fy (Y) of Y. c.) Find P(XY) d.) Find P(Y2X) e.) Find P(X + Y = 3) f.) Find E[X] and E[Y] and E[XY] g.) Cov and correlation coefficient x+y f(x,y) = 32
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