Question

Problem 6-29 A quality-control inspector is testing sample outputfrom a production process for widgets wherein 98% of the items aresatisfactory (S) and 2% are unsatisfactory (U). Three widgets arechosen randomly for inspection. The successive quality events maybe assumed independent.Find the probabilities for the following numbers of unsatisfactoryitems:(1) Pr(none)=(2) Pr(exactly 2)= (3) Pr(at least 1)= (4) Pr(exactly 1)= (5) Pr(exactly 3)= (6) Pr(at most 2)=

Answer 1

(1) Pr(none)= .71

(2) Pr(exactly 2)= .0154

(3) Pr(at least 1)= .29

(4) Pr(exactly 1)= .271

(5) Pr(exactly 3)= .000275

(6) Pr(at most 2)= .99

Bolded answers might be wrong, I am a bit unsure on those ones