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-Consider the following two problems. (a)A random-number generator yields numbers in a uniform distribution between 0 and 1 with a mean of 0.5 and a standard deviation of 0.289. You wish to find the probability that the mean of a sample of 50 random numbers is greater than 0.6. (b)Scores on an aptitude test are normally distributed with a mean of 82 and a standard deviation of 11. You wish to find the probability that the score for a randomly selected person is greater than 90. Which of these two problems requires application of the Central Limit Theorem? Explain your reasoning.
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