Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 fail keyboards, 6 of  which have electrical defects and 19 of which have mechanical defects. a. How many ways are there to randomly select 5 of these keyboards for a thorough inspection ( without regard to order)? b. In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect? c. If  a sample of 5 keyboards is randomly selected, what is the probability that at least 4 of these will have a mechanical defect?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 fail keyboards, 6 of  which have electrical defects and 19 of which have mechanical defects.

a. How many ways are there to randomly select 5 of these keyboards for a thorough inspection ( without regard to order)?

b. In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect?

c. If  a sample of 5 keyboards is randomly selected, what is the probability that at least 4 of these will have a mechanical defect?

 

 

 

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