In a memory test, the test subjects are shown 300 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 75% 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. .75 (b) Find the standard deviation of p. (c) Compute an approximation for P(p<0.76), which is the probability that fewer than 76% of the objects are remembered by a test subject. Round your answer to four decimal places.

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In a memory test, the test subjects are shown 300 objects and are asked after two hours to name the objects. The historical
records show that test subjects remember 75% 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.
.75
(b) Find the standard deviation of p.
(c) Compute an approximation for Pp<0.76), which is the probability that fewer
than 76% 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 300 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 75% 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. .75 (b) Find the standard deviation of p. (c) Compute an approximation for Pp<0.76), which is the probability that fewer than 76% of the objects are remembered by a test subject. Round your answer to four decimal places.
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