When a production process is operating correctly, the number of units produced per hour has a normal distribution with a mean of 101 and a standard deviation of 20. A random sample of 25 hours was taken. Complete parts (a) through (d).

a. Find the mean of the sampling distribution of the sample means.

EX=_____

(Type an integer or a decimal.)

b. Find the variance of the sample mean.

2X=______

(Type an integer or a decimal.)

c. Find the standard error of the sample mean.

X=______

(Type an integer or a decimal.)

d. What is the probability that the sample mean exceeds 102.2?

P(X>102.2)=

(Round to four decimal places as needed.)