X Sixty percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assume that successive vehicles pass or fail independently of one another. Given that at least one of the next three vehicles passes inspection, what is the probability that all three passes? Round your answer to three decimal places. Hint: This may be written as P (all three pass | at least one passes). O,307 Ⓡ 4 O something else O.276 O.231 O.311

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Canvas
X |
Sixty percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assume that successive vehicles pass or fail
independently of one another.
O,307
Given that at least one of the next three vehicles passes inspection, what is the probability that all three passes? Round your answer to three decimal
places.
Hint: This may be written as P (all three pass at least one passes).
LA
X
something else
O.276
O.231
A
O.311
00
****
Transcribed Image Text:Canvas X | Sixty percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assume that successive vehicles pass or fail independently of one another. O,307 Given that at least one of the next three vehicles passes inspection, what is the probability that all three passes? Round your answer to three decimal places. Hint: This may be written as P (all three pass at least one passes). LA X something else O.276 O.231 A O.311 00 ****
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