Question

the conditional relative frequency table was generated using data that compared a student’s grade level and whether or not they are involved in after - school activities. given that a student is in 10th grade, what is the probability that the student is also not involved in after - school activities? \

$$\begin{tabular}{|c|c|c|c|} \\hline & after - school activities & no after - school activities & total \\\\ \\hline 10th grade & 0.43 & 0.57 & 1.0 \\\\ \\hline 11th grade & 0.55 & 0.45 & 1.0 \\\\ \\hline total & 0.49 & 0.51 & 1.0 \\\\ \\hline \\end{tabular}$$

\bigcirc 0.43 \bigcirc 0.45 \bigcirc 0.55 \bigcirc 0.57

Explanation:

Step1: Identify the relevant row

We are given that the student is in 10th grade, so we look at the row for 10th grade.

Step2: Find the probability for "No After - School Activities"

In the 10th grade row, the value for "No After - School Activities" is 0.57. This value represents the conditional relative frequency of a 10th - grade student not being involved in after - school activities, given that the student is in 10th grade.

Answer:

0.57