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Determine the moment generating function of x

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Reference no: EM132515102

Let X be a uniform random variable over (0,1). Let a and b be two positive numbers and let Y=aX+b.

(a) Determine the moment generating function of X.

(b) Determine the moment generating function of Y.

(c) Using the moment generating function of Y, show that Y is uniformly distributed over an interval (a, a+b).

Reference no: EM132515102

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