Thirty percent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. In a random sample of 15 selected cars: (round 3 decimal places) a) Find the probability that at most five of the cars fail the inspection. b) Find the probability that at least three of the cars fail the inspection. c) Find the probability that all 15 of the cars fail the inspection.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Thirty percent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. In a random sample of 15 selected cars: (round 3 decimal places)
a) Find the probability that at most five of the cars fail the inspection.
b) Find the probability that at least three of the cars fail the inspection.
c) Find the probability that all 15 of the cars fail the inspection.

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