Supposexhas a distribution with a mean of50and a standard deviation of20. Random samples of sizen=64are drawn. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.)

ux=_____

qx=______

(b)Find thezvalue corresponding to=45. (Enter an exact number.)

z = ________

(c)FindP(<45). (Enter a number. Round your answer to four decimal places.)

P(<45) =P(x bar < 45)=________