. The on-campus housing costs for a semester at a state university are Normally distributed with a mean of $1553 and a standard deviation of $329. (a) What is the distribution of the mean on-campus...

. The on-campus housing costs for a semester at a state university are Normally distributed with a mean of $1553 and a standard deviation of $329.
(a) What is the distribution of the mean on-campus housing cost for a semester at this university for a random sample of 50 students?

(b) What is the probability that a randomly selected on-campus student spends more than $1200 per semester?

(c) What is the probability that a random sample of 50 students spends an average of less than $1500?

(d) What is the probability that a random sample of 50 students spends an average of $1450 to $1600 per semester?