Suppose x has a distribution with = 80 and = 5.

(a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means?

No, the sample size is too small. Yes, the x distribution is normal with mean _x = 80 and _x = 5. Yes, the x distribution is normal with mean _x = 80 and _x = 1.25. Yes, the x distribution is normal with mean _x = 80 and _x = 0.3.

(b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16?

Yes, the x distribution is normal with mean _x = 80 and _x = 5. Yes, the x distribution is normal with mean _x = 80 and _x = 0.3. Yes, the x distribution is normal with mean _x = 80 and _x = 1.25. No, the sample size is too small.

Find P(76x81). (Round your answer to four decimal places.)