Question 522937: 6. Fifty faculty travel expense vouchers were submitted to the statistics department during the summer. Of these 20 contained errors. If five vouchers are selected at random what is the probability that:
a. None contain errors.
b. One contains an error
c. Three or more contain errors
d. What kind of probability distribution did you use to solve this problem?
e. Make a graph of the PDF
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Fifty faculty travel expense vouchers were submitted to the statistics department during the summer. Of these 20 contained errors. If five vouchers are selected at random what is the probability that:
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Binomial Problem with n = 5 and p(error) = (20/50) = 2/5 p(no error) = 3/5
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a. None contain errors.::::(3/5)^5
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b. One contains an error:::5C1*(2/5)(3/5)^4
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c. Three or more contain errors::: 1 - binomcdf(5,2/5,2)
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d. What kind of probability distribution did you use to solve this problem?
Binomial
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e. Make a graph of the PDF
If you have a TI calculator use the binompdf function key
to find P(x = 0), P(x=1)....,P(x=5)
where P(x=k) = nCk*p^k*q*(n-k)
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Cheers,
Stan H.
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