Keiths Florists has 17 delivery trucks used mainly to delive

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, 7 have brake problems. A sample of 5 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes? (Round your answer to 4 decimal places.)

Solution

This is a hypergeometric distribution problem with

N = population size = 17
K = number of successes in the population = 7
n = sample size = 5
x = number of successes in the sample = 2

Thus,

P(x) = C(K, x) C(N-K, n-x) / C(N, n)

= (7C2)(10C3)/(17C7)

= 0.129576306 [ANSWER]