Keith’s Florists has 17 delivery trucks, used mainly to deliver flowers and flow
ID: 3381530 • Letter: K
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, 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.)
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.)
Explanation / Answer
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]
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