manufacturer has a recently produced a batch of 17 smart phones. Unknown to them, 6 of these phones are defective (the rest of the phones are acceptable). The manufacturer takes a random sample of 3 phones and evaluates them. (a) How many samples of size 3 are possible that have exactly 2 defective smart phones? (b) What is the probability that a random sample of 3 of these smart phones has exactly 2 defective phones? Round your answer to 4 places after the decimal point, if necessary

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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 manufacturer has a recently produced a batch of 17 smart phones. Unknown to them, 6 of these phones are defective (the rest of the phones are acceptable). The manufacturer takes a random sample of 3 phones and evaluates them.

(a) How many samples of size 3 are possible that have exactly 2 defective smart phones?

(b) What is the probability that a random sample of 3 of these smart phones has exactly 2 defective phones?
Round your answer to 4 places after the decimal point, if necessary

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