Background data: Norman Bates has just inherited $40,000. Consultants identified guest showers as the most significant use of water. They calculated that the lengths of guest showers at the Bates Motel are normally distributed with a mean of 10 minutes and a standard deviation of 3 minutes.

Question: On that same Tuesday night, what is the probability that exactly four of the eight showers took longer than 12 minutes?

Please answer the question using excel. Please show the excel formulas and calculations used to get the answer.