A population has a mean of 50 and a standard deviation of 13. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following?
a. Greater than 50
b. Less than 52
c. Less than 48
d. Between 47.5 and 54.5
e. Between 50.5 and 51.7
P(X<52)=?
P(x<48)=?