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Please answer these two questions and show all your work.

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PLEASE SHOW ALL THE WORK! Problem # 1. (14 pts). (Show your work). Sixty-five percent of US adults oppose special taxes on junkfood and soda. You randomly select 11 US adults. Find the probability that the number of US adults who oppose special taxes on junkfood and soda is a) Exactly seven (7) b) At least seven (7) c) Less than eight (8) 2 Problem # 2. (24 pts) (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 3 cl) Between 72 and 81 workers inclusive (HINT: Combine what you have learned in Normal Approximation to the Binomial Distribution)