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Problem 1 According to the Sleep Foundation, the average night's sleep is ? hours. Assume the standard deviation is [1.5 hours and that the probability distribution is normal. a. What is the probability that a randomly selected person sleeps more than 9 hours? b. What is the probability that a randomly selected person sleeps 5 hours or less? c. What is the probability that a randomly selected person sleeps exactly It} hours? d. What is the probability that a randomly selected person sleeps more than ? hours? e. Doctors suggest getting between ? and 9 hours of sleep each night. What percentage of the population gets this much sleep? Problem 1 Suppose that It"? items are drawn 'om a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a nonnormal probability distribution with pr = 3 ounces and cr= 3 ounces. Consider the sampling distribution of the sample mean of the weights 1' a. Can you describe the sampling distribution of the sample mean? Explain why. b. Find the mean and 1variance of the sample mean? c. Find the probability that the mean weight is greater than 3 ounces. d. Find the probability that the mean weight is less than a ounoes. e. Find the probability that the mean weight is between ? ounces and 9 ounces