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Problems 1. The average time it takes a group of college students to complete a certain examination is 46.2 minutes. The standard deviation is 8 minutes. Assume that the variable is normally distributed. a. What is the probability that a randomly selected college student will complete the examination in less than 43 minutes? b. If 50 randomly selected college students take the examination, what is the probability that the mean time it takes the group to complete the test will be more than 43 minutes