A certain sports car comes equipped with either an automatic or a manual transmi

Question

A certain sports car comes equipped with either an automatic or a manual transmission, and the car is available in one of three colors. Relevant probabilities for various combinations of transmission type and color are given in the following table Colors Transmisson Type White (W Black (B Red (R) 0.13 0.15 0.18 0.20 0.16 0.18 (1 points) If we select a sport car randomly, what is the probability that the car is a black one? What is the probability that the car has an automatic transmission? (I points) A black car is sel a. b. ected. What is the probability of the car being an automatic car?

Explanation / Answer

Solution:-

a) The probability that the car is a black one is 0.38.

The probability that car has an automatic transmission is 0.47.

b) The probability of the car being an automatic car is 0.4737.

The probability of car being black car = 0.38

The probability of car being black and automatic = 0.18

The probability of the car being an automatic car = 0.18/0.38 = 0.4737

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