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In a memory test the test subjects are given a large number and are asked...

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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 75 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 300 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 0 b Find the standard deviation of p c Compute an approximation for P p 0 78 which is the probability that fewer than 78 of the people in the sample pass the test Round your answer to four decimal places 0

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