Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flow

ID: 3130006 • Letter: K

Question

Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 15 trucks, 8 have brake problems. A sample of 6 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 15 delivery trucks, used mainly to deliver flowers and flower arrangements in the Greenville, South Carolina, area. Of these 15 trucks, 8 have brake problems. A sample of 6 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

Ans: Probability of selecting 2 defective out of 6 defective:

prob p of finding a defective item = 8/15

prob q = 7/15

Prob (x=2) = 6C2 (8/15)^2 (7/15)^4 = 15 * 0.284 * 0.047 = 0.2002