SOLUTION: in a shipment of 30 televisions, 4 are defective. if 3 television sets are randomly selected and tested without replacement, what is the probability that the three are defective?

Algebra ->  Probability-and-statistics -> SOLUTION: in a shipment of 30 televisions, 4 are defective. if 3 television sets are randomly selected and tested without replacement, what is the probability that the three are defective?      Log On


   



Question 393166: in a shipment of 30 televisions, 4 are defective. if 3 television sets are randomly selected and tested without replacement, what is the probability that the three 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 let p(defective) = 4/30 = 2/15 & q = 7/15
nCx = n%21%2F%28x%21%28n-x%21%29%29
P(3 chosen are all defective) = (2/15)^3 = .0024