l. [20 points] 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) What is the probability that a randomly selected person sleeps for more than 8 hours? b) What is the probability that a randomly selected person sleeps 6 hours or less? c) 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?
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I would like assistance with the appropriate distribution to use and why, plus the solution for each part. Thank you!
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