Question

Some statisticians investigated the accuracy of using ultrasound to test for a genetic marker of a medical condition. Let D denote that the fetus has the genetic marker and N denote that the ultrasound test is normal. Then, the statisticians desire the probability P(D∣N). Use Bayes's rule?

Answer 1

To find the probability P(D∣N) using Bayes's rule, we use the formula: P(D∣N) = (P(N∣D) * P(D)) / P(N). By knowing the values for the probabilities, we can substitute them into the formula to find the desired probability.

Step-by-step explanation:

To find the probability P(D∣N) using Bayes's rule, we can use the formula:

P(D∣N) = (P(N∣D) * P(D)) / P(N)

Here, P(N∣D) represents the probability of the ultrasound test being normal given that the fetus has the genetic marker. P(D) represents the probability of the fetus having the genetic marker, and P(N) represents the probability of the ultrasound test being normal.

By knowing these values, we can substitute them into the formula to find the desired probability.