4) Suppose there are a million cars made by a car company across the globe, where the probability that a car has a defective brake part is 0.0003. Based on the Monte Carlo algorithm, determine the minimum number of cars which needs to be tested so the probability of finding not even a defective car among those tested is less than three in a million. Show your work. You must simplify your answer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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4)
Suppose there are a million cars made by a car company across the globe, where the probability that a
car has a defective brake part is 0.0003. Based on the Monte Carlo algorithm, determine the minimum
number of cars which needs to be tested so the probability of finding not even a defective car among
those tested is less than three in a million. Show your work. You must simplify your answer.
Transcribed Image Text:4) Suppose there are a million cars made by a car company across the globe, where the probability that a car has a defective brake part is 0.0003. Based on the Monte Carlo algorithm, determine the minimum number of cars which needs to be tested so the probability of finding not even a defective car among those tested is less than three in a million. Show your work. You must simplify your answer.
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