QUESTION 1 (a) Samples of electromagnetic radiation from three suppliers are classified for conformance to the degree to which the air in a particular place is pollution-free for specifications. The results from 100 samples are summarized as follows: Conforms Yes No 1 22 8 Supplier 2 25 3 30 10 Let A denote the event that a sample is from supplier 1, and let B denote the event that a sample conforms to specifications. If a sample is selected at random, determine the following probabilities: (1) P(A). (3) (ii) P(B). (3) (iii) P(A). (3) (iv) P(AB). (3) (v) P(AUB). (3) (vi) P(AUB). (3) (b) Suppose that P(A/B) = 0.05, P(A/B) = 0.01 and P(B) = 0.10. What is P(4)? (4)
