SOLUTION: To verify the accuracy of their accounting entries , a company uses auditors for verification on a regular basis . the company's employees make erroneous entries 8% of the time . S

Question 296215: To verify the accuracy of their accounting entries , a company uses auditors for verification on a regular basis . the company's employees make erroneous entries 8% of the time . Suppose that an auditor randomly checks four entries .
1) find the probability distribution for Y , the number of erros detected by the auditor.
2) find the probability the auditor will detect more than one error ?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
To verify the accuracy of their accounting entries , a company uses auditors for verification on a regular basis . the company's employees make erroneous entries 8% of the time . Suppose that an auditor randomly checks four entries .
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Binomial Problem with n=4 and p=0.08
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1) find the probability distribution for Y , the number of errors detected by the auditor.
General Form: P(x=k) = 4Ck(0.08)^k*(0.92)^(n-k)
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P(x=0) = 4C0(0.08)^0*(0.92)^4 = 0.7164
P(x=1) = 0.2492
P(x=2) = 0.0325
P(x=3) = 0.0019
P(x=4) = 0.00004
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2) find the probability the auditor will detect more than one error ?
P(2<= x <=4) = "add P(x=4),P(x=3), and P(x=2)
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Cheers,
Stan H.
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