Question

The school of science, engineering and design at a local university regularly purchases a particular type of electrical component. 40% are purchased from company A, and 60% are purchased from company B. 2% of those supplied by company A and 5 % of those supplied by company B are known to be defective. The components are identical and thoroughly mixed upon receipt. A component is selected at random. Give answers below as decimals rounded to 3 decimal places. a) What is the probablility that this component was supplied by company Band was defective? Submit part 1 mark Unanswered b) Calculate the probability that the component was defective Given that the component was good, what is the probablity that it was supplied by company B?

Answer 1

Let A be an event that the school purchases electrical component from company A; B be an event that the school purchases electrical component from company B D be an event of defective P(A) 0.40, P(B) P(Bn D) P(B) P(D |B) 0.60 0.05 0.030 b. P(D) P(A) P (D| A)P(B) P(D| B) 0.40 0.02 0.60 * 0.05 0.02, P(D B)=0.05 0.60, P(DIA) a. 0.038 _ (1 P(DB)) P(B) 1 P(D) P(De B) P(B) P(De) 0.60)/(1 0.038) P(BID) C. ((1 0.05) 0.593