Problem

In a math class with 19 students, a test was given the same day that an assignment was due. There were 12 students who passed the test and 13 students who completed the assignment. There were 4 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they passed the test?

Answer

Expert–verified
Hide Steps
Answer

\( P(A|T) = \frac{P(A \cap T)}{P(T)} = \frac{10/19}{12/19} \)

Steps

Step 1 ：\( P(T) = \frac{12}{19} \)

Step 2 ：\( P(A \cap T) = \frac{12 + 13 - 19 + 4}{19} = \frac{10}{19} \)

Step 3 ：\( P(A|T) = \frac{P(A \cap T)}{P(T)} = \frac{10/19}{12/19} \)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More