. Suppose the following: In the population of U.S. adults, the mean monthly amount paid for digital subscription services is $40 with a standard deviation of $15. You may assume that this population is normally distributed.

a) What is the standard error of the sample mean for a sample of 46 U.S. adults? and for a sample of 60 U.S. adults? (to 4 decimals)

b) What is the probability that a random sample of 46 U.S. adults will have a mean digital subscription amount that is less than $35?

c) What is the probability that a random sample of 60 U.S. adults will have a mean digital subscription amount that is less than $35?

d) What is the probability that a random sample of 46 U.S. adults will have a mean digital subscription amount that is between $37 and $43?

e) What is the probability that a random sample of 60 U.S. adults will have a mean digital subscription amount that is between $37 and $43?