The results of a national survey showed that on average, adults sleep 6 hours and 48 mins per night with a standard deviation of 24 minutes. Assume a normal distribution. Answer the following questions by using the Empirical Rules. (Please convert everything to minutes.)

a) What is the probability that an American adult slept more than 7 hours and 36 minutes in a night?

b) At most how much sleep would an American adult get if they were in the lower 16 percentile?

c) What is the expected amount of sleep an average American would get in a 7-day week? What is the standard deviation? Assume that the amount of sleep each day is independent of all other days