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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