Budget Rental Cars Cheap Rentals has nothing but budget

Chapter 4, Problem 7RE

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QUESTION:

Problem 7RE

Budget Rental Cars Cheap Rentals has nothing but budget cars for rental. The probability that a car has air conditioning is 0.5, and the probability that a car has a CD player is 0.37. The probability that a car has both air conditioning and a CD player is 0.06. What is the probability that a randomly selected car has neither air conditioning nor a CD player? (4–2)

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QUESTION:

Problem 7RE

Budget Rental Cars Cheap Rentals has nothing but budget cars for rental. The probability that a car has air conditioning is 0.5, and the probability that a car has a CD player is 0.37. The probability that a car has both air conditioning and a CD player is 0.06. What is the probability that a randomly selected car has neither air conditioning nor a CD player? (4–2)

ANSWER:

Solution:

Step 1 of 2:

Given,

The P(car has air conditioning) = P(A)

 

                                                   = 0.5

       P(car has a CD player) = P(B)

                                             =  0.37.

      P(car has both air conditioning and CD player) =P(AB)

                                                                                 = 0.06

The claim is to find the probability that a randomly selected car has neither air conditioning nor a CD player.


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