3. [10 points] Every morning before your first class, you line up for a cup of coffee at a coffee shop. You observe that the waiting times are normally distributed with a mean of 3.9 minutes and a standard deviation of 0.85 minutes. You have calculated that the number of days that you line up for coffee during the fall semester is 56. What is the probability that your average wait is longer than 4 minutes? Report your answer to three decimal places. 4. [10 points] The number of cars sold annually by a used car sales person is normally distributed. A sample of 35 used car sales persons revealed the sample mean of cars sold annually is 73. The population standard deviation of cars sold annually is 14. Find the 97% confidence interval estimate of the population mean. Report your answer to two decimal places