Question 1118355: 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.)
(I got: 5.67)
a-2. What is the standard deviation? (Round the final answer to 2 decimal places.)
(I got 2.27)
b. What is the probability that exactly five students will fail? (Round the final answer to 4 decimal places.)
c.What is the probability at least five students will fail? (Round the final answer to 4 decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.)
(I got: 5.67)
Round up to the next whole number; 6
-------------------------------------
a-2. What is the standard deviation? (Round the final answer to 2 decimal places.)
(I got 2.27)
Ans: sqrt(npq) = sqrt(63*0.09*0.91) = 2.27
-------------------------
b. What is the probability that exactly five students will fail? (Round the final answer to 4 decimal places.)
P(x = 5) = 63C5*0.09^5*0.91*58 = binompdf(63,0.09,5) = 0.1748
-------------------
c.What is the probability at least five students will fail? (Round the final answer to 4 decimal places.)
P(5<= x <= 63) = 1 - binomcdf(63,0.09,4) = 0.6801
-----------
Cheers,
Stan H.
----------
|
|
|
