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Probability that sample has no erroneous vouchers?

 
 
Reply Thu 8 Nov, 2018 12:48 pm
I keep getting the answer .3211 for the below question (b) based on the information. I don't completely understand how to calculate this, but i'm using the HYPGEOM.DIST in excel, which is allowed for the assignment i'm working on. The program keeps telling me my answer is incorrect.

Here is the question:
Two hundred seventy employee travel expense reimbursement vouchers were filed last year in the finance department at Ramjac Corporation. Of these, 26 contained errors. A corporate auditor audits a sample of eleven vouchers. Let X be the number of incorrect vouchers in the sample.

(b) Find the probability that the sample contains no erroneous vouchers. (Do not round your intermediate answers. Round your answer to 4 decimal places.)

Am I missing something here?
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engineer
 
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Reply Thu 8 Nov, 2018 01:31 pm
@hcornish1,
The voucher error rate is 26/270 = 9.630%
The probability of getting the voucher correct is 1-9.6% = 90.37%
The probability of getting eleven vouchers correct is 90.37% ^ 11 = 32.83%

Rant: Requiring four significant digit accuracy on a problem where all the inputs have two significant digits is absurd.
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