Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an inspection of a random sample of vouchers issued since January 1, 2013.A sample of ten vouchers is randomly selected, without replacement, from the population of 2,000 vouchers.Each voucher in the sample is examined for errors and the number of vouchers in the sample with errors is denoted by x.If 20% of the population of vouchers contain errors, P(x = 0)is ___.

Question

Quizplus · Accepted Answer

This is a binomial distribution problem, where n = 10 (sample size), p = 0.2 (probability of error in the population), and x = number of vouchers with errors in the sample.

P(x = 0) = (10 choose 0) * 0.2^0 * 0.8^10 = 0.1074 (using binomial probability formula)

Therefore, the answer is Choice B.