SOLUTION: In a certain manufacturing process it is found that on the average 2 articles out of 100 are defective. What is the probability that a random sample of 5 articles will contain (a)

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Question 1157241: In a certain manufacturing process it is found that on the average 2 articles out of 100 are defective. What is the probability that a random sample of 5 articles will contain
(a) no defective articles
(b) exactly 1 defective article
(c) exactly 2 defective articles
Answer by ikleyn(52865) About Me  (Show Source):
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(a)  P = %281-0.02%29%5E5 = 0.98%5E5 = 0.9039 (approximately).    ANSWER


(b)  P = C%5B5%5D%5E1%2A0.02%5E1%2A0.98%5E4 = 5%2A0.02%5E1%2A0.98%5E4 = 0.092237.       ANSWER


(c)  P = C%5B5%5D%5E2%2A0.02%5E2%2A0.98%5E3 = 10%2A0.02%5E2%2A0.98%5E4 = 0.003765.      ANSWER

These are binomial distribution probability problems.

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