Question

A researcher randomly selects 165 vehicles and sees how many miles each car has been driven and the color of the vehicle. The two-way table displays the data. Suppose a vehicle is randomly selected. Let M = the vehicle has been driven many miles and B = the vehicle is blue. Which of the following is the correct value and interpretation of P(B|M)? P(B|M) = 0.36; given that the vehicle color is blue, there is a 0.36 probability that it has been driven many miles. P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue. P(B|M) = 0.54; given that the vehicle color is blue, there is a 0.54 probability that it has been driven many miles. P(B|M) = 0.54; given that the vehicle has been driven many miles, there is a 0.54 probability that the color is blue.

Answer 1

The correct statement regarding the conditional probability P(B|M) is given by:

P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The conditional probability P(B|M) is the probability of B given that M, that is, the probability of a vehicle that has driven many miles being blue.

Researching the problem on the internet, it is found that of the 94 vehicles that have driven many miles, 34 are blue, hence:

P(B|M) = 34/94 = 0.36.

Hence the correct option is given by:

P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.

More can be learned about probabilities at brainly.com/question/14398287

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Answer 2

Answer:

B

Step-by-step explanation:

P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.