Question

Please help I cannot figure this one out!

Answer 1

Answer:

77.47%

Step-by-step explanation:

We have to use Bayes Theorem in solving this problem.

This theorem's formula is:

P(A | B) = $\frac{P(A and B)}{P(B)}$

Where the " | " means "given that".

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

P(Student has lice | positive ) = $\frac{P(StudentHasLice and Positive)}{P(Positive)}$

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

So P(Student has lice | Positive ) = $\frac{0.1692}{0.2184}=0.7747$