Question

In a survey of adults, 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly. What is the conditional probability that an adult who lifts weights regularly, also runs regularly?

Answer 1

The conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Let's suppose P(A) is the probability of adults who lift weights regularly.

P(A) = 18% = 0.18

Similarly,

P(B) = 32% = 0.32

P(A∩B) = 0.07

We know:

$\rm P(A|B) = \dfrac{P(A\cap B)}{P(B)}$

$\rm P(A|B) = \dfrac{0.07}{0.32}$

P(A|B) = 0.219  or

P(A|B) = 21.9%

Thus, the conditional probability that an adult who lifts weights regularly, also runs regularly is 0.219 or 21.9% if the 18% lift weights regularly, 32% run regularly, and 7% lift weights and run regularly.

Learn more about the probability here:

brainly.com/question/11234923

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