The answers should be b No c 0 d No Please show work X.pdf

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The answers should be: b) No c) 0 d) No Please show work. X={0,1,2} and Y={1,1} are discrete random variables with - P(X=0,Y=1)=P(X=1,Y=1)=P(X=2,Y=1) - P(X=0,Y=1)=0,P(X=1,Y=1)=0.5,P(X=2,Y=1)=0 (a) Write out the discrete probability distribution table (b) Are X and Y independent? (c) Compute the correlation of X and Y. (d) Does zero correlation guarantee independence?.

The answers should be:
b) No
c) 0
d) No
Please show work.
X={0,1,2} and Y={1,1} are discrete random variables with - P(X=0,Y=1)=P(X=1,Y=1)=P(X=2,Y=1) -
P(X=0,Y=1)=0,P(X=1,Y=1)=0.5,P(X=2,Y=1)=0 (a) Write out the discrete probability distribution
table (b) Are X and Y independent? (c) Compute the correlation of X and Y. (d) Does zero
correlation guarantee independence?

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