1. Let X and Y be two jointly continuous random variables with joint PDF ſcxy², fx,x (x,y) = 0. 0 0.5 | X=0.1). d. Find P(2X

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1. Let X and Y be two jointly continuous random variables with joint PDF
сху?,
0<x< y<1
fxx (x,y) = {cxy".
0.
otherwise
a. Calculate the factor c.
b. Find the marginal PDF for X.
Find P(Y>0.5 |X= 0.1).
d. Find P(2X< Y).
с.
Transcribed Image Text:1. Let X and Y be two jointly continuous random variables with joint PDF сху?, 0<x< y<1 fxx (x,y) = {cxy". 0. otherwise a. Calculate the factor c. b. Find the marginal PDF for X. Find P(Y>0.5 |X= 0.1). d. Find P(2X< Y). с.
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