Question: 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

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. This symbol (^) is written over the letter(p) not beside.

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^< 0.83) which is the probability that fewer than 83% of the objects are remembered by a test subject. Round your answer to four decimal places.

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