Question

Two hundred employee travel expense reimbursement vouchers were filed last year in the finance department at Ramac Corporation 20 contained errors. A corporate auditor audits a sample of five vouchers. Let X be the number of incorrect vouchers in the sample. (a) is the binomial approximation justified? Yes No (b) Find the probability that the sample contains no erroneous vouchers. (Do not round your intermediate answers. Round your answer to 4 decimal places.) Probability (c) Find the probability that the sample contains at least two erroneous vouchers. (Do not round your intermediate answers. Round your answer to 4 decimal places.) Probability

Answer 1

The probability of error vocher&p) = 20 = (0-10) Sample number of adulty (n)=5. (a) Here is only two possibities namely voucher with errors Encues and voucher with no estors. (fcilure). So this is Binomial enperiment prod=$(0.103" (0.90 -= number of errone oux vochers (6) $(a=0) = 5 co.log(0.90) = (0.59049 = probabius no erroneous rochers © PlX22) in pia< 2) = |- {p(x20) +pinal} at least two erroneous Nochers =t-{8610.1039 (0.90 + $ Cono) 10.9033} Pla=2)=1 - 0.91854 = 10.08146 probability