a) Suppose x has a distribution with μ = 63 and σ = 15. If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? (choose one answer)

Yes, the x distribution is normal with mean μ x = 63 and σ x = 0.9.Yes, the x distribution is normal with mean μ x = 63 and σ x = 3.75.No, the sample size is too small.Yes, the x distribution is normal with mean μ x = 63 and σ x = 15.

(b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? (choose one answer)
Yes, the x distribution is normal with mean μ x = 63 and σ x = 0.9.No, the sample size is too small.Yes, the x distribution is normal with mean μ x = 63 and σ x = 15.Yes, the x distribution is normal with mean μ x = 63 and σ x = 3.75.

Find P(59 ≤x≤ 64). (Round your answer to four decimal places.)