As an avid golfer, you have recently joined a club. The number of times you expect to play golf in a month is represented by a normal random variable with a mean of 5 and a standard deviation of 2.5. Assume that you pay monthly membership fees of $500 per month and pay an additional $50 per round of golf.

(a)What is your average monthly bill from the country club?

(b)What is the standard deviation for your average monthly bill from the country club?

(c) Find the probability that your average monthly bill is greater than $1,000.