A shipment of 30 inexpensive watches, including 8 that are defective, are sent t

Question

A shipment of 30 inexpensive watches, including 8 that are defective, are sent to a store. The receiving dept selects 10 at random for testing and rejects the while shipment if 1 or more is found defective. What is the probability the shipment will be defective A shipment of 30 inexpensive watches, including 8 that are defective, are sent to a store. The receiving dept selects 10 at random for testing and rejects the while shipment if 1 or more is found defective. What is the probability the shipment will be defective

Explanation / Answer

Defective watches = 8

Total watches = 30

Sample size = 10 at random

Probability of selecting defective watch = 8/30

Probability of not selecting defective watch = 1- 8/30 = 22/30

P(Shipment defective)=1-P(Shipment not defective)

P(Shipment not defective) = P(not selecting defective watch)^10 = (22/30)^10

P(Shipment defective) = 1- (22/30)^10 = 0.95502

DO THUMBS UP ^_^

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