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Name: You must show all work to receive full credit Problem # 1. [14 ptsl. [Show your work]. Sixty-five percent of U.S adults oppose special taxes on junk food and soda. You randomly select 11 US adults. Find the probability that the number of U.S adults who oppose special taxes on junk food and soda is a) Exactly seven (7) b) At least seven (7) c) Less than eight (8) Problem # 2. [24 ts) [Show your work]. Fifty-one percent of workers are confident that they will retire with a comfortable lifestyle. You randomly select 140 workers. Find the probability that the number of workers who are confident that they will retire with a comfortable lifestyle is a) Exactly seventy-five (75) workers b) More than eighty (80) workers c) At least seventy-nine (79) workers d) Between 72 and 81 workers inclusive (HINT: Combine what you have learned in Normal Approximation to the Binomial Distribution). Hint: For the following problems, Use the Central Limit Theorem Problem # 3. [36 pts) [Show your work). During the last week of the semester, students at a certain college spend on the average 4.2 hours using the school's computer terminals with a standard deviation of 1.8 hours. For a random sample of 36 students at that college, find the probabilities that the average time spent using the computer terminals during the last week of the semester is a) At least 4.8 hours \fProblem # 4126 pts) [Show your work}. The time it takes students in a cooking school to learn how to prepare a particular meal is a random variable with a mean of 3.2 hours and a standard deviation of 1.9 hours. Find the probability that the average time it will take 38 students to learn how to prepare the meal a) is less than 3.4 hours (Draw the bell curve) b) is between 3.0 hours and 3.6 hours (Draw the bell curve)