What is the probability of rejecting? (STATISTICS)
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What is the probability of rejecting? (STATISTICS)

[From: ] [author: ] [Date: 11-05-19] [Hit: ]
suppose that you have just received a shipment of 20 modems. although you dont know this, 3 of the modems are defective. to determine wheather you will accept the shipment, you randomly select 4 modems and test them. if all 4 modems work,......
the problem asks what is the probability of accepting and rejecting a shipment, for accepting i got 0.4912. would the probability of rejecting be 1-0.4912? thank you.

if you wanted to know the entire problem it is:

suppose that you have just received a shipment of 20 modems. although you dont know this, 3 of the modems are defective. to determine wheather 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? what is the probability of rejecting the shipment?

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Probability of rejecting the shipment = 1 - prob of accepting the shpment. Because there are only 2 exhaustive cases, accepting and rejecting.

Now, total ways of selecting 4 modems= 20c4.
There are 17 good ones, and 3 defectives.
Ways of selecting good ones = 17c4.
So probabilty of accepting = 17c4/20c4 = .491
so prbablty of rejecting = .509

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there are 17 modems that work

17c4 / 20c4 = 2380 / 4845
0.49122807017543859649122807017544
49.12%

yes, it would be 50.88%
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