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. 0.8 (b) Find the standard deviation of p. 0.02 (c) Compute an approximation for P(p<0.79 ), which is the probability that fewer than 79% of the objects are remembered by a test subject. Round your answer to four decimal places.
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. 0.8 (b) Find the standard deviation of p. 0.02 (c) Compute an approximation for P(p<0.79 ), which is the probability that fewer than 79% of the objects are remembered by a test subject. Round your answer to four decimal places.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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.
0.8
(b) Find the standard deviation of p.
0.02
(c) Compute an approximation for P(p<0.79 ), which is the probability that fewer than 79% of
the objects are remembered by a test subject. Round your answer to four decimal places.
Explanation
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