To find the probability that a student walks given that they are a senior, we use the concept of conditional probability. This can be represented as [tex]\( P(\text{walk} \mid \text{senior}) \)[/tex].
[tex]\[ P(\text{walk} \mid \text{senior}) = \frac{P(\text{walk and senior})}{P(\text{senior})} \][/tex]
From the given table, let's extract the necessary information:
- The number of seniors who walk (walk and senior) is 5.
- The total number of seniors is 35.
Using this information, we can substitute into our formula:
[tex]\[ P(\text{walk} \mid \text{senior}) = \frac{\text{Number of seniors who walk}}{\text{Total number of seniors}} \][/tex]
[tex]\[ P(\text{walk} \mid \text{senior}) = \frac{5}{35} \][/tex]
Now, simplifying the fraction:
[tex]\[ P(\text{walk} \mid \text{senior}) = \frac{5}{35} = \frac{1}{7} \approx 0.14285714285714285 \][/tex]
We further round this value to the nearest hundredth:
[tex]\[ P(\text{walk} \mid \text{senior}) \approx 0.14 \][/tex]
So, the probability that a student walks given that they are a senior is [tex]\( \boxed{0.14} \)[/tex].
