Question

Please help I cannot figure this one out!

Answer 1

77.47%

Explanation:

We have to use Bayes Theorem in solving this problem.

This theorem's formula is:

P(A | B) =
`(P(A and B))/(P(B))`

Where the " | " means "given that".

For our problem, using bayes theorem, we can write:

P(Student has lice | positive ) =
`(P(StudentHasLice and Positive))/(P(Positive))`

• P(Positive) = 0.1692 + 0.0492 = 0.2184
• P (Student has Lice & Positive ) = 0.1692

So P(Student has lice | Positive ) =
`(0.1692)/(0.2184)=0.7747`