1. The average night's sleep for a grown up adult is 6.8 hours. Assuming the probability distribution of the sleep time to be normal with a standard deviation of 0.8 hours, compute the following.
a) Clearly state what the random variable in this problem is?
b) What is an appropriate distribution to be used for this problem and why?
c) What is the probability that a randomly selected person sleeps for more than 8 hours?
d) What is the probability that a randomly selected person sleeps 6 hours or less?
e) Doctors recommend that a person get between 7 and 9 hours of sleep each night. What percentage of the population gets recommended levels of sleep?
Answer in Excel