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Suppose x has a distribution with a mean of 40 and a standard deviation of 15. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a normal distribution. O x has a binomial distribution. O x has a geometric distribution. O x has an unknown distribution. O x has an approximately normal distribution. O x has a Poisson distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) He = (b) Find the z value corresponding to x = 45. (Enter an exact number.) Z = (c) Find P(x