Question: 8.16. Four components are assembled into a single apparatus. The components originate from independent sources and p. = P(ith component is defective), i = 1,2,3,4.

8.16. Four components are assembled into a single apparatus. The components originate from independent sources and p. = P(ith component is defective), i = 1,2,3,4.

(a) Obtain an expression for the probability that the entire apparatus is functioning.

(b) Obtain an expression for the probability that at least 3 components are functioning.

(c) If p = p2 = 0.1 and ps p = 0.2, evaluate the probability that exactly 2 com- ponents are functioning.

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