COMPSCI 240 Lecture Notes - Lecture 8: Expected Value, Random Variable

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Pcx=r)= chdh . p: poisson - ph =k)=et i for k=o , For a random variable the expected value is defined to be = Eed is also called the expectation or mean of x : expectations of standard random variables, uniform on a , ah , = ek klerk) pkltp ) mk hp: geometric. It a and are any real values , then the expectation of axtb is. Applying the expectation operator more than once has no effect . E [ ] a variance a net : variance measures now far we expect a random variable to be from its average. It measures the expectation of the squared donation of a random variable from its mean . A definition . we generally define the nth moment of x as. Eexm the expected value of the random variable xn . a example i. 3 the variance is : var txj = I l 2- 32) + xd - 3)

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