In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that

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In A Memory Test The Test Subjects Are Given A Large Number And Are Asked To Memorize It Historical Records Show That 1 (30.88 KiB) Viewed 14 times

In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 400 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(p>0.76), which is the probability that more than 76% of the people in the sample pass the test. Round your answer to four decimal places. ?