Question#1: Two random variable X and Y have the joint PDF given by: (xy+1) ,0 SX S2,0 Sys1 fxy(x,y) = 0 otherwise a) Wh
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Question#1: Two random variable X and Y have the joint PDF given by: (xy+1) ,0 SX S2,0 Sys1 fxy(x,y) = 0 otherwise a) Wh
Question#1: Two random variable X and Y have the joint PDF given by: (xy+1) ,0 SX S2,0 Sys1 fxy(x,y) = 0 otherwise a) What are the marginal PDFs of X and Y? b) Are X and Y independent? c) Find P[< <1,7 < 1)? Question# 2: Two random variable X and Y have the joint PMF given by: + y) x = 1,2,3, y = 1,2 Pxy(x,y) = 0 otherwise »={(67" a) What is the value of c? b) Are X and Y independent? c) Find Pxır(xly) Question# 3: Two random variable X and Y have the joint PDF given by: (2 e-(x+2y) ,05x<00,0 Sy<o fxr (x,y) = 0 , otherwise a) What are the marginal PDFs of X and Y? b) Find fxr (ly)? c) Find frix(+1x)