57. Let X and Y have respective distribution functions FX and FY , and suppose that for...

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57. Let X and Y have respective distribution functions FX and FY , and suppose that for some constants a and b > 0,

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(a) Determine E[X ] in terms of E[Y ].

(b) Determine Var(X ) in terms of Var(Y ).
Hint: X has the same distribution as what other random variable?

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