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:

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
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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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