Question 3 - Normal Distribution (4 marks)

According to a recent study, the average night's sleep is 8 hours. Assume that the standard deviation is 1.1 hours and that the probability distribution is normal.

1. a) What is the probability that a randomly selected person sleeps for more than 8 hours? (2 marks)

1. b) Doctors suggest getting between 7 and 9 hours of sleep each night. What percentage of the population gets this much sleep? (2 marks).