Question 4) According to the Department of Health, Statistics Students sleep an average of 8 hours a night. Assume that ‘hours of sleep a night’ follows a normal distribution with a standard deviation...

Question 4)

According to the Department of Health, Statistics Students sleep an average of 8 hours a night. Assume that ‘hours of sleep a night’ follows a normal distribution with a standard deviation of 1.5 hours.

• If a statistics student is selected at random what is the probability they sleep less than 6 hours a night?

• If a statistics student is selected at random what is the probability they sleep more than 8.5 hours a night?

• If a statistics student is selected at random what is the probability they sleep between than 5 hours and 9 hours a night?