SOLUTION: It is estimated that 10 percent of those taking the quantitative methods portion of the CPA examination fail that section. Sixty students are taking the exam this Saturday. a. How

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Question 304843: It is estimated that 10 percent of those taking the quantitative methods portion of the CPA examination fail that section. Sixty students are taking the exam this Saturday.
a. How many would you expect to fail? What is the standard deviation?
b. What is the probability that exactly two students will fail?
C. What is the probability at least two students will fail?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It is estimated that 10 percent of those taking the quantitative methods portion of the CPA examination fail that section.
Sixty students are taking the exam this Saturday.
a.
How many would you expect to fail?;;;;;0.1(60)= 6
What is the standard deviation?;;;; sqrt(60*0.1*0.9) = 2.32
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b. What is the probability that exactly two students will fail?
P(x=2) = 60C2(0.1)^2*(0.9)^58 = 0.0393
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C. What is the probability at least two students will fail?
P(2<= x <=60) = 1 - P(0<= x <=1) = 0.9862
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Cheers,
Stan H.