the method 100 students use to get to school and their grade level is shown below.\n| |drive|bus|walk|total|\…

the method 100 students use to get to school and their grade level is shown below.\n| |drive|bus|walk|total|\n|--|--|--|--|--|\n|sophomore|2|25|3|30|\n|junior|13|20|2|35|\n|senior|25|5|5|35|\n|total|40|50|10|100|\nfind the probability a student walks, given that they are a senior.\np(walk | senior) = \\frac{p(walk and senior)}{p(senior)} = ?\nround to the nearest hundredth.

the method 100 students use to get to school and their grade level is shown below.\n| |drive|bus|walk|total|\n|--|--|--|--|--|\n|sophomore|2|25|3|30|\n|junior|13|20|2|35|\n|senior|25|5|5|35|\n|total|40|50|10|100|\nfind the probability a student walks, given that they are a senior.\np(walk | senior) = \\frac{p(walk and senior)}{p(senior)} = ?\nround to the nearest hundredth.

Answer

Explanation:

Step1: Identify relevant values

From the table, the number of seniors who walk is 5, and the total number of seniors is 35.

Step2: Calculate the conditional - probability

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In terms of the table values, $P(\text{walk}|\text{senior})=\frac{\text{Number of senior walkers}}{\text{Total number of seniors}}$. So $P(\text{walk}|\text{senior})=\frac{5}{35}=\frac{1}{7}\approx0.14$.

Answer:

$0.14$