It is estimated that 9% of those taking the quantitative methods portion of the certified public...
It is estimated that 9% of those taking the quantitative methods portion of the certified public accountant (CPA) examination fail that section. Sixty three students are taking the examination this Saturday
. a-1. How many would you expect to fail? (Round the final answer to 2 decimal places.)
Number of students
a-2. What is the standard deviation? (Round the final answer to 2 decimal places.)
Standard deviation
b. What is the probability that exactly five students will fail? (Round the final answer to 4 decimal places.)
Probability
c. What is the probability at least five students will fail? (Round the final answer to 4 decimal places.)
Probability
Homework Answers
a-1)
Number of students fail = Total students*Fail % = 63*0.09 = 5.67
a-2)
standard deviation = sqrt(Total students*Fail %*Pass %) = sqrt(63*0.09*0.91) = 2.27
b)
P(x=T) = Total studentsCFail*(Fail %)^Number of Fail*(Pass%)^Number of pass
P(x=5) = 63C5*((0.09)^5)*((0.91)^58) = 0.1748
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