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 A random sample of 625 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<0.84), which is the probability that fewer than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X E D w

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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 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 625 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
0
(c) Compute an approximation for P(p<0.84), which is the probability that fewer than 84% of the people in the
sample pass the test. Round your answer to four decimal places.
Continue
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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 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 625 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 0 (c) Compute an approximation for P(p<0.84), which is the probability that fewer than 84% of the people in the sample pass the test. Round your answer to four decimal places. Continue O DEC 16 101 W MacBook Air Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use zoom X Submit Assignment Privacy Center 5 = Accessibility 18- CH
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