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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p(defective) = .1 & q = .9 

nCx = n%21%2F%28x%21%28n-x%29%21%29

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