At a certain car dealership, the probability that a customer purchases an SUV is 0.17. Given that a customer purchases an SUV, the probability that it is black is 0.35. What is the probability that a customer purchases a black SUV? Round your answer to four decimal places, if necessary.

Question

Mathematics

Keshawn Hart

19 March, 23:47

At a certain car dealership, the probability that a customer purchases an SUV is 0.17. Given that a customer purchases an SUV, the probability that it is black is 0.35. What is the probability that a customer purchases a black SUV? Round your answer to four decimal places, if necessary.

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Answers (1)

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Fisher Roth · Answer 1

0.0595 = 5.95% probability that a customer purchases a black SUV

Step-by-step explanation:

We have these following probabilities:

0.17 = 17% probability of purchasing a SUV

If a SUV is purchased 0.35 = 35% probability of being black.

What is the probability that a customer purchases a black SUV?

We just multiply these probabilities.

P = 0.17*0.35 = 0.0595

0.0595 = 5.95% probability that a customer purchases a black SUV