PROBABILITY DISTRIBUTIONS, Basic Statistics

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a). Show that if a random variable has a uniform density with the parameters a and ß, the probability that it will take on a value less than a+p(ß-a) is equal to p
b). Prove that the mean and variance of the uniform density are given by
and , respectively
c). If a random variable X has a uniform density with the parameters a and ß, find its cumulative distribution.

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