Only part B A company generally purchases large lots of a certain kind of electr

Question

Only part B A company generally purchases large lots of a certain kind of electronic device A method is used that rejects a lot if 3 or more defective units are found in a random sample of 100 units (a) what is the probability of rejecting a lot that is 3% defective? (b) what is the probability of accepting a lot that is 5% defective? (a) The probability of rejecting a lot that is 3% defective is 5768 Round to four decimal places as needed.) (b) The probability of accepting a lot that is 5% defective is (Round to four decimal places as needed)

Explanation / Answer

(B)

P(defective) = 0.05

P(not defective) = 1 - 0.05 = 0.95

sample size i.e n = 100

probabilty that less than 3 are defective = P(0) + P(1) +P(2)

= (0.95)100 + 100C10.0510.9599 + 100C20.0520.9598 =  0.1183

probability of accepting a lot that is 5% defective = probabilty that less than 3 are defective = 0.1183

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