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 a) What is the probability that a randomly selected person sleeps for more than 8 hours ( 2 marks ) b) Doctors suggest getting between 7 and 9 hours of sleep each night What percentage of the population gets this much sleep ( 2 marks )

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Question: 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

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.

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

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

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