Supposexhas a distribution with a mean of50and a standard deviation of9. Random samples of sizen=36are drawn.

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

mu sub x bar =

sigma sub x bar =

(b)Find thezvalue corresponding to=47. (Enter an exact number.)

z=

(c)FindP(<47). (Enter a number. Round your answer to four decimal places.)

P(<47) =

P(x bar < 47)