SOLUTION: according to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probablity that 4 of 8 stolen cars will be recovered.

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Question 624883: according to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probablity that 4 of 8 stolen cars will be recovered.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,Re:  TY, finish it Up and You get .011

according to police sources, a car with a certain protection system will be recovered 87% of the time. 

Find the probablity that 4 of 8 stolen cars will be recovered.

  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 = .87 & q = .13

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

 P(4 will be recovered) =  8C4(.87)^4(.13^4)  = 70%28.87%29%5E4%28.13%5E4%29=+highlight%28.011%29