# Question: Suppose X is a random variable whose n th moment

Suppose X is a random variable whose n th moment is gn , n = 1,2, 3.… In terms of the gn, find an expression for the m th moment of the random variable Y= aX+ b for constants a and b .

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Suppose X is a random variable whose n th moment is gn, n = 1, 2, 3… In terms of the gn, find an expression for E [eX]. Show that the variance of a Cauchy random variable is undefined (infinite). Find the variance and coefficient of skewness for a Poisson random variable whose PMF is Suppose X is a random variable with an exponential PDF of the form fX(x) = 2e– 2xu(x). A new random variable is created according to the transformation Y = 1 – X. (a) Find the domain for X and Y. (b) Find fY(y) Let X be a Chi- square random variable with a PDF given by Where c= n/ 2 for any positive integer n. Find the PDF of Y= √X.Post your question