SOLUTION: In a shipment of 50 calculators, 5 are known to be defective. If 6 calculators are picked at random, what is the probability that 2 are defective?

Algebra ->  Probability-and-statistics -> SOLUTION: In a shipment of 50 calculators, 5 are known to be defective. If 6 calculators are picked at random, what is the probability that 2 are defective?      Log On


   

Question 839297: In a shipment of 50 calculators, 5 are known to be defective. If 6 calculators are picked at random, what is the probability that 2 are 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

If 6 calculators are picked at random, what is the probability that 2 are defective

 P = 6C2 (.1)^2(.9)^4 = .0984