Solved: Seventy percent of all vehicles examined at a certain emissionsinspection

Chapter 2, Problem 84

(choose chapter or problem)

Seventy percent of all vehicles examined at a certain emissionsinspection station pass the inspection. Assuming thatsuccessive vehicles pass or fail independently of oneanother, calculate the following probabilities: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 passesinspection, what is the probability that all three pass (aconditional probability)?

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