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. (b) Find the standard deviation of p. (c) Compute an approximation for P(P>0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 more than 84% of the people in the sample
pass the test. Round your answer to four decimal places.
0
X
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 more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X
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