5. The amount of time it takes a professor to respond to a student's email follows a right-skewed probability distribution with a mean of 4.4 hours and a standard deviation of 9.1 hours. Let X...

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Extracted text: 5. The amount of time it takes a professor to respond to a student's email follows a right-skewed probability distribution with a mean of 4.4 hours and a standard deviation of 9.1 hours. Let X represent the mean response time to a random sample of 49 student emails. (a) What is the sampling distribution of X? Explain. State the values of any relevant parameters. (b) What is the probability that the mean response time to these 49 emails will be between 4 hours and 6 hours? (c) If a random sample of 49 emails is selected, there is a 12% chance that the mean response time will fall below what value?