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Discrete Uniform Random Variable Suppose X is a random variable with probability distribution given by

p(x) = 1/5 x = 1, 2, 3, 4, 5

a. Find the mean, variance, and standard deviation of X.
b. Suppose p(x) = 1/6, x = 1, 2, 3, 4, 5, 6. Find the mean, variance, and standard deviation of X.
c. Suppose p(x) = 1/n, x = 1, 2, 3, c, n. Find the mean, variance, and standard deviation of X in terms of n.

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