4. A quality control procedure for testing Ready-Flash disposable cameras consis

Question

4. A quality control procedure for testing Ready-Flash disposable cameras consists of drawing two di cameras at random from a lot of 90 where 6 are defective a. What is the probability neither are defective? b. What is the probability that the first is defective and the second is not defective? c. What is the probability that at least one is defective? The port of South Louisiana is the largest-tonnage port in the United States. Inspectors randomly select ships at one of the facilities and check for safety violations. Past records indicate that 90% of all ships inspected have no safety violations. If three ships are selected at random, 5. What is the probability that all three ships have safety violations? a. b. What is the probability that exactly one ship has a safety violation?

Explanation / Answer

4)a) P(neither are defective) = 84C2/90C2 = 0.8704

b) Probability = 6/90 * 84/89 = 0.0629

c) P(at least one is defective) = (6C1 * 84C1 + 6C2)/90C2 = 0.1296

5) n = 3

   P(no safety violation) = 0.9

   P(having safety violation) = 1 - 0.9 = 0.1

It is a binomial distribution.

P(X = x) = nCx * px * (1 - p)n - x

a) P(X = 3) = 3C3 * (0.1)^3 * (0.9)^0 = 0.001

b) P(X = 1) = 3C1 * (0.1)^1 * (0.9)^2 = 0.243

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