Question 1135583: Suppose a shipment of 140 electronic components contains 3 defective components. To determine whether the shipment should be accepted, a quality-control engineer randomly selects 3 of the components and tests them. If 1 or more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected? can you help me solve this with statcrunch
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!
First we find the probability that it will be accepted and then
subtract from 1.
There are 3 defective ones, and therefore 140-3 = 137 good ones.
That means the first one selected will be good with a probability of 137/140, and
the second one selected will be good with a probability of 136/139, and
the the third one selected will be good with a probability of 135/138.
Probability that shipment will be accepted = (137/140)(136/139)(135/138) =
0.9355370258
Probability that shipment will be rejected = 1 - 0.9355370258 =
0.0633629742
Edwin
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