Question

The probability that a farmer is in debt is 0.700. The probability that a farmer is in debt and also lives in the Midwest is 0.280. The probability that a randomly selected farmer lives in the Midwest given that he is in debt is?

Answer 1

0.4

Explanation:

Given that:

P(debt) = P(D) = Probability of being in debt = 0.7

P(debt n Midwest) = P(Dn M) = probability of being in debt and lives in Midwest = 0.280

The probability that a randomly selected farmer lives in the Midwest given that he is in debt is?

P(M | D) = p(D n M) / p(D)

P(M | D) = 0.280 / 0.7

P(M | D) = 0.4