In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% of the objects after two hours. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of objects that are remembered by a test subject. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are remembered by a test subject. Round your answer to four decimal places.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects
remember 80% of the objects after two hours.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p, where p is the proportion of objects that are remembered by a test subject.
?
(b) Find the standard deviation of p.
(c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are
remembered by a test subject. Round your answer to four decimal places.
Transcribed Image Text:In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% of the objects after two hours. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of objects that are remembered by a test subject. ? (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are remembered by a test subject. Round your answer to four decimal places.
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