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a) Let Z be a standart normal RV(random variable) and If Y = Z^2 for all...

a) Let Z be a standart normal RV(random variable) and If Y = Z^2 for all Z, what is the PDF and mean of Y ?
b) If Y = Z^2 for Z>0 and Y=0 for other regitions, Calculate PDF of Y and P(Y=0).
c) Calculate P(Y<1) by using table for both a and b options above.

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