Question

Suppose you have just received a shipment of 22 modems. Although you​ don't know​ this, 2...

Suppose you have just received a shipment of 22 modems. Although you​ don't know​ this, 2 of the modems are defective. To determine whether you will accept the​ shipment, you randomly select 4 modems and test them. If all 4 modems​ work, you accept the shipment.​ Otherwise, the shipment is rejected. What is the probability of accepting the​ shipment?

Math   Statistics-And-Probability   
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Answer #1

There are 2 defects in a shipment of 22 modems. That is, there are 20 modems which work.

4 modems are selected from 22.

Number of ways of selecting 4 from 22 is

Number of ways of selecting 4 working modems from 20 (which work in the shipment of 22) and 0 from 2 defective is

the probability that all 4 modems​ work is

ans: the probability of accepting the​ shipment is 0.6623

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