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Question 308720: A new sports car model has defective brakes 15 percent of the time and a defective steering mechanism 5 percent of the time. Let’s assume (and hope) that these problems occur independently. If one or the other of these problems is present, the car is called a “lemon.” If both of these problems are present, the car is a “hazard.” Your instructor purchased one of these cars yesterday. What is the probability it is:
a. A lemon?
b. A hazard?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A new sports car model has defective brakes 15 percent of the time and a defective steering mechanism 5 percent of the time.
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Let’s assume (and hope) that these problems occur independently. If one or the other of these problems is present, the car is called a “lemon.” If both of these problems are present, the car is a “hazard.” Your instructor purchased one of these cars yesterday. What is the probability it is:
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P(2 defects) = 0.15*0.05 = 0.0075
P(no defects)= 0.85*0.95 = 0.8075
P(one defect) = 1 - [0.8075+0.0075] = 0.1850
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a. A lemon? ::::0.1850
b. A hazard?::::0.0075
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Cheers,
Stan H.
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