STAT330 Lecture Notes - Lecture 1: Random Variable

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Let xi beta( , ), for i = 1,,n. find the ml estimate of and . A game consists of first rolling an ordinary six-sided die once and then tossing an unbiased coin once. The score, which consists of adding the number of spots showing on the die to the number of heads showing on the coin (0 or 1), is a random variable, say x. Find the pmf, corresponding cdf, p(x > 2), and the probability that the score is an even integer. A non-negative integer-valued random variable x has a cdf of the form. = 1 ( for x = 0,1,2, and zero otherwise. Find the pmf of x and p(10 < x 20). A function f (x) has the following form f(x)=kx (k+1), 1

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