SOLUTION: 10% of items produced by a manufacturer are defective. 1. Find the probability that for a sample of six items two are defective. 2. Find the probability that for a sample of 10 i

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Question 840651: 10% of items produced by a manufacturer are defective.
1. Find the probability that for a sample of six items two are defective.
2. Find the probability that for a sample of 10 items, at least one is defective.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p(defective) = .1 & q = .9
nCx =
P(of six items two are defective)= 6C2(.10)^2(.90)^4 = .0984
P(of ten items, at least one is defective) = 1 - P(none defective)
1-(.90)^6 = 1-.5314= .4686
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