please show work Exam Ch. 1,2 #8 An industrial plant purchases 60% of its electr

Question

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Exam Ch. 1,2 #8 An industrial plant purchases 60% of its electroti rel y stre slare defective supplier . Past records show that 5 percent of the relays fron supp those from supplier are defective. Suppose that a relay is chosen o of its (a) What is the probability that it is non-defective and came from supplier ? electrotiqrelays from supplier I, and the rest from at random. (b) What is the probability that it is defective? c) If the relay is defective what is the probability that it came from supplier ?

Explanation / Answer

a) P(non-defective and came from supplier I) = P(non-defective | from supplier I) * P(from supplier I)

                                                                         = 0.95 * 0.6 = 0.57

b) P(defective) = 0.6 * 0.05 + 0.4 * 0.1 = 0.07

c) P(from supplier II | defective) = P(defective | from supplier II) * P(from supplier II)/P(defective)

                                                   = 0.1 * 0.4/0.07 = 0.5714

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