Question

Fairview High School has an anime (Japanese animation) club that anystudent can attend. The relative frequency table shows the proportion ofstudents in the high school who take Japanese and/or are in the anime club.Take JapaneseDo not takeJapaneseTotalIn anime club0.130.010.14Not in anime club0.050.810.86Total0.180.821.0Given that a student is in the anime club, what is the likelihood that he or shetakes Japanese?OA. About 93%B. About 72%C. 18%D. 13%SUBMIT

Answer 1

75 for 5.5.3

Explanation:

Answer 2

A. about 93%

Step-by-step explanation

Events

• A: a student takes Japanese

,

• B: a student is in the anime club

We need to find the probability that a student takes Japanese given that he or she is in the anime club, that is, P(A|B). This probability is calculated as follows:

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

From the table, the probability that a student takes Japanese and is in the anime club is P(A and B) = 0.13. And the probability that a student is in the anime club is P(B) = 0.14. Therefore,

`\begin{gathered} P(A|B)=(0.13)/(0.14) \\ P(A|B)\approx0.93\text{ or }93\text{ \%} \end{gathered}`