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(Solved): Let X be a discrete random variable with probability density function fX given by: and fX(a) ...
Let be a discrete random variable with probability density function given by: and for all other . (a) Let the random variable be defined by , i.e. if , then . Calculate the probability density function of . (b) Calculate the values of the cumulative distribution function of and in , , and .
Expert Answer
a) We are given here that: Y=X2, therefore the PDF For Y here is obtained as:P(Y=0)=P(X=0)=0.2P(Y=1)=P(X=1)+P(X=?1)=0.1+0.1=0.2P(Y=4)=P(X=2)+P(X=?2)=0