Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 13 of which have electrical defects and 12 of which have mechanical defects. (a) How many ways are there to randomly select 6 of these keyboards for a thorough inspection (without regard to order)? ways (b) In how many ways can a sample of 6 keyboards be selected so that exactly two have an electrical defect? ways (c) If a sample of 6 keyboards is randomly selected, what is the probability that at least 5 of these will have a mechanical defect? (Round your answer to four decimal places.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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please help me solving the question a) through c).

Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed
keyboards, 13 of which have electrical defects and 12 of which have mechanical defects.
(a) How many ways are there to randomly select 6 of these keyboards for a thorough inspection (without regard to order)?
ways
(b) In how many ways can a sample of 6 keyboards be selected so that exactly two have an electrical defect?
ways
(c) If a sample of 6 keyboards is randomly selected, what is the probability that at least 5 of these will have a mechanical
defect? (Round your answer to four decimal places.)
Transcribed Image Text:Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 13 of which have electrical defects and 12 of which have mechanical defects. (a) How many ways are there to randomly select 6 of these keyboards for a thorough inspection (without regard to order)? ways (b) In how many ways can a sample of 6 keyboards be selected so that exactly two have an electrical defect? ways (c) If a sample of 6 keyboards is randomly selected, what is the probability that at least 5 of these will have a mechanical defect? (Round your answer to four decimal places.)
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