hree decimal places.) (a) P(all of the next three vehicles inspected pass) (b) P(at least one of the next three inspected fails) (c) P(exactly one of the next three inspected passes) (d) P(at most one of the next three vehicles inspected passes) (e) Given that at least one of the next three vehicles passes inspection, what is the probability that all three pass? Round your answer to three decimal places. Hint: This may be written as P(all three pass at least one passes).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Sixty percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that
successive vehicles pass or fail independently of one another, calculate the following probabilities. (Enter your answers to
three decimal places.)
(a) P(all of the next three vehicles inspected pass)
(b) P(at least one of the next three inspected fails)
(c) P(exactly one of the next three inspected passes)
(d) P(at most one of the next three vehicles inspected passes)
(e) Given that at least one of the next three vehicles passes inspection, what is the probability that all three pass?
Round your answer to three decimal places. Hint: This may be written as P(all three pass | at least one passes).
Transcribed Image Text:Sixty percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive vehicles pass or fail independently of one another, calculate the following probabilities. (Enter your answers to three decimal places.) (a) P(all of the next three vehicles inspected pass) (b) P(at least one of the next three inspected fails) (c) P(exactly one of the next three inspected passes) (d) P(at most one of the next three vehicles inspected passes) (e) Given that at least one of the next three vehicles passes inspection, what is the probability that all three pass? Round your answer to three decimal places. Hint: This may be written as P(all three pass | at least one passes).
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