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Suppose a shipment of 190 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?

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Answer:

0.0467

Step-by-step explanation:

Probabilty of being defective is  [tex]\frac{3}{190}[/tex]

So probability of being good is  [tex]\frac{187}{190}[/tex]

Now,

Probability that all 3 of them are good is:

[tex]\frac{187}{190}^{3}=0.9533[/tex]

Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:

1 - 0.9533 = 0.0467

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