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[3] A random variable X has the following cumulative distribution function (cdf). (a) Find E ( X ) . (b) Find E ( Y ) where Y = a X + b for constants a and b . (c) Find the pmf of Y = lo g 2 ( X + 1 ) . .

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[3] A random variable X has the following cumulative distribution function (cdf). (a) Find E ( X ) . (b) Find E ( Y ) where Y = a X + b for constants a and b . (c) Find the pmf of Y = lo g 2 ( X + 1 ) .

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