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PLEASE SOLVE IT STEP BY STEP, Thanks. Show that E[(Y-mu)/sigma]=0 and V[(Y-mu)/sigma]=1 for ANY distribution

PLEASE SOLVE IT STEP BY STEP, Thanks.

Show that E[(Y-mu)/sigma]=0 and V[(Y-mu)/sigma]=1 for ANY distribution

Math   Statistics-And-Probability   
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Answer #1

By using the property of Expectations and variance effect of change of origin and scale.

E(aX+b) =aE(X) +b, where X is r. v. And a, b are constant

V(aX+b) =(a) ^2X

V(constant) =0

E(constant) =constant

Solution file is attached go through it

Thanks

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