An Applicant Must Score at Least 80 Points on a Particular

question 109

Essay

An applicant must score at least 80 points on a particular psychological test to be eligible for the Peace Corps. From nearly 30 years experience, it is known 60% of the applicants meet this requirement. Let the random variable x be the number of applicants who meet this requirement out of a (randomly selected) group of 25 applicants.
Find the mean of x.
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Find the standard deviation of x.
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Using the Empirical Rule, within what limits would you expect most (say, 95%) of the measurements to be?
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