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

Transcribed Image Text:

In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 60% 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 600 people to take the memory test is going to be chosen. Let 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. X O (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.58), which is the probability that fewer than 58% of the people in the Check sample pass the test. Round your answer to four decimal places. E C C Z In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 60% 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 600 people to take the memory test is going to be chosen. Let 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. X O (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.58), which is the probability that fewer than 58% of the people in the Check sample pass the test. Round your answer to four decimal places. E C C Z