It has been determined that 5% of cars checked at PepBoys have faulty brakes and 10% of cars checked have suspension problems. In addition, it has been observed that the two are independent from one another. If a mechanic checks five cars at random: Calculate the probability that exactly three of the cars have any one of the two problems:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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It has been determined that 5% of cars checked at PepBoys have faulty brakes and 10% of cars checked have suspension problems. In addition, it has been observed that the two are independent from one another. If a mechanic checks five cars at random:

Calculate the probability that exactly three of the cars have any one of the two problems: 

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