Supposexhas a distribution with a mean of70and a standard deviation of51. Random samples of sizen=36are drawn.

Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)

(b)Find thezvalue corresponding to=87.

z=

(c)FindP(<87). Round your answer to four decimal places.

P(<87) =

P(x bar < 87)

(d)Would it be unusual for a random sample of size36from thexdistribution to have a sample mean less than87? Explain.