SOLUTION: Five independent trials of a binomial experiment with probability of success p = 0.3 and the probability of failure q = 0.7 are performed. Find the probability of the event. (Round

Algebra ->  Probability-and-statistics -> SOLUTION: Five independent trials of a binomial experiment with probability of success p = 0.3 and the probability of failure q = 0.7 are performed. Find the probability of the event. (Round      Log On


   

Question 822523: Five independent trials of a binomial experiment with probability of success p = 0.3 and the probability of failure q = 0.7 are performed. Find the probability of the event. (Round your answer to five decimal places.)
Exactly three successes
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 = .3  and q = .7 and n = 5,   nCx = n%21%2F%28x%21%28n-x%29%21%29

P(x = 3) = %285C3%29%28.3%29%5E3%28.7%29%5E2+=+%2810%29%28.3%29%5E3%28.7%29%5E2+=+.0512   0r 5.12%