# Question

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].

## Answer to relevant Questions

Calculate the mean value, second moment, and variance of each of the following random variables: (a) Binominal, (b) Poisson, (c) Laplace, (d) Gamma, Let cn be the n th central moment of a random variable and µ n be its n th moment. Find a relationship between cn and µk, k = 0, 1, 2… Show that the concept of total probability can be extended to expected values. That is, if {Ai}, i = 1,2,3, …, n is a set of mutually exclusive and exhaustive events, then Let X be a standard normal random variable (i. e., X ~ N ( 0,1)). Find the PDF of Y= |X|. Suppose a random variable has some PDF given by fX(x). Find a function g(x) such that Y= g(X) is a uniform random variable over the interval (0, 1). Next, suppose that X is a uniform random variable. Find a function g(x) ...Post your question

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