Question

A sociology teacher asked his students to complete a survey at the beginning of the year. One survey question asked, "How responsible are you?" Another question asked, "How many siblings do you have?" Irresponsible Responsible 2 6 O siblings 1 sibling 2 siblings 6 5 5 5 What is the probability that a randomly selected student has 2 siblings and is responsible? Simplify any fractions

Answer 1

We have a table of frequency that represents how many people have siblings and how many are responsible or irresponsible.

We are asked to find the probability that a randomly selected student has 2 siblings and is responsible.

The number of students that are in this category is shown in red in the following image:

This is the point of intersection between 2 siblings and responsible.

5 students have 2 siblings and are responsible.

To find the probability, we need to calculate:

`P=\frac{\text{Number of students that have 2 siblings and are responsible}}{\text{Total number of students}}`

We have found that the numerator part is 5. But we need to find the total number of students, and we find it by adding all of the numbers from the table:

`\text{Total number of students: }2+6+5+6+5+5=29`

Thus, the probability is:

`P=(5)/(29)`

Answer: 5/29