COMM 104 Lecture Notes - Lecture 5: Random Variable, Normal Distribution, Standard Deviation

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14 Mar 2016
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Approximating the binomial distribution by using the normal distribution. If c and d are numbers on the real line (c < d), the probability curve describing the uniform f x distribution is: P (a x b)= b a d c: note: the number ordering is c < a < b < d. The mean mx and standard deviation sx of a uniform random variable x are: 12: these are the parameters of the uniform distribution with endpoints c and d (c < d) The uniform distribution is symmetrical: symmetrical about its center x, x is the median. The uniform distribution is rectangular: for endpoints c and d (c < d and c d) the width of the distribution is d c and the height is. 1/(d c: the area under the entire uniform distribution is 1, because width height = (d c) [1/(d c)] = 1. So p(c x d) = 1.

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