MAT 2377 Lecture Notes - Lecture 5: Random Variable, Bernoulli Trial, Standard Deviation
9 May 2014
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Denition : a random variable has a discrete uniform distribution if it has a nite range rx = {x1, . Special case : if x has a discrete uniform distribution on the consecu- tive integers a, a + 1, a + 2, . 2 = v (x) = (b a + 1)2 1. Example 5 : suppose that the number of employees that are absent for medical reasons in the month of january has a discrete uniform distribution on 0 to 5 employees. Let x the number of employees that are absent due to medical reasons in january. Compute the mean and the standard deviation of x. D nition : a bernoulli trial is a random experiment with two possible outcomes that we will call success and failure. The probability that a success will occur is p. Denition : a binomial experiment consists of n independent bernoulli trials, each having the same probability of success.
