Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 8 of which have electrical defects and 17 of which have mechanic defects. (a) How many ways are there to randomly select 5 of these keyboards for a thorough inspection (without regard to order)? ways (b) In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect? ways (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? (Round your answer to four decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 58E: Forming an Experimental Group To conduct an experiment, researchers randomly select five students...
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Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 8 of which have electrical defects and 17 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)?
ways
(b) In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect?
ways
(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? (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, 8 of which have electrical defects and 17 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)? ways (b) In how many ways can a sample of 5 keyboards be selected so that exactly two have an electrical defect? ways (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? (Round your answer to four decimal places.)
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