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,...

5.12Suppose that the probability distribution of a random variable x can be described by the formulap(x) = x /15for 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 distribution of x satisfies the properties of a discrete probabilitydistribution. c) Calculate the mean of x. d) Calculate the variance, O2x, and the standard deviation, Ox.

5.12Suppose that the probability distribution of a random variable x can be described by the formulap(x) = x /15for each of the values x = 1, 2, 3, 4, and 5. For example, then, P(x = 2) = p(2) =...