5.1 Problems
Problem 1 (6 points)
A college decides to admit 1500 students.
Past experience shows that 60% of the students
admitted will accept.
Assuming that students make their decisions independently, the number
who accept has the B(1500, 0.6) distribution.
a) What are the exact mean and standard deviation of the number X of students who accept?
Round your answers to five decimal places if necessary.
(3 points)
b) What is the probability that more than 900 accept?
Use your final answers from part a.
Use an
actual value from Table A.
Round your final answer to four decimal places.
(3 points)
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Problem 2 (6 points)
A SRS of 1000 adults asks if they agree with the statement “I support President Bush.”
Suppose
that 50% of all US adults would agree if asked this question so the population parameter= 0.5.
a) What are the mean and standard deviation of the sample proportion
p
ˆ
?
Round your answers
to five decimal places if necessary.
(3 points)
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 Fall '08
 ABDUS,S.
 Normal Distribution, Standard Deviation, decimal places

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