Calculate the variance σ2x, and the standard deviation, σx.
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5.12 Suppose that the probability distribution of a random variable X can be described by the formula P(x)= X/15 For each of the values X = 1, 2, 3, 4, and 5. For example, then, P(x = 2) = p(2) = 2/15. a. Write out the probability distribution of x. b. Show that the probability of x satisfies the properties of a discrete probability distribution. c. Calculate the mean of x. d. Calculate the variance σ2x, and the standard deviation, σx.
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