Keith\'s florists has 17 delivery trucks, used mainly to deliver flowers and flo

Question

Keith's florists has 17 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 17 trucks 6 have break problems. A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places)
Keith's florists has 17 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 17 trucks 6 have break problems. A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places)
Keith's florists has 17 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 17 trucks 6 have break problems. A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places)

Explanation / Answer

Note that the probability of x successes out of n trials is          
          
P(x) = C(N-K, n-x) C(K, x) / C(N, n)          
          
where          
N = population size =    17      
K = number of successes in the population =    6      
n = sample size =    4      
x = number of successes in the sample =    2      
          
Thus,          
          
P(   2   ) =    0.346638655 [ANSWER]

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