Question

The probabilities of a test are represented by I for infected; U, uninfected; D, infection detected; and N, no infection detected. What is the symbolic way to represent the probability of a true positive? P(I⋂D) P(I⋂D)P(D) P(U⋂N)P(N) P(I⋃D)

Answer 1

`\mathbb P(I\cap D)`

Answer 2

The symbolic way to represent the probability of a true positive is:

P(I∩D)

Explanation:

The representation is given as follows:

I for infected; U, uninfected; D, infection detected; and N, no infection detected.

We are asked to find which expression represents the probability of a true positive.

i.e we are asked to find the probability that a person who is infected is also detected.

Let P denote the probability of an event.

Hence, the expression is:

P(I∩D)