# 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

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 Click here to see ALL problems on Probability-and-statistics 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(57424)   (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 . --------- Binomial Problem with n=4 and p=0.08 -------------------- 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) ---------------------- 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 ============================ 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) ================================================ Cheers, Stan H. ==============================