Question

1. What is the size of the sample?2. What is the probability that a student will prefer soccer?3. What is the probability that a student will prefer volleyball?4. There are 550 students in the school. Predict how many students at the school prefertrack and field.

Answer 1

Given:

Soccer 8

Baseball/Softball 3

Volleyball 5

Track and field 4

Let's solve for the following:

• 1. What is the sample size:

The sample size can be said to be the total number of responses a survey receives.

Therefore, we have:

Sample size = 8 + 3 + 5 + 4 = 20

The sample size is 20

• 2. What is the probability that a student will prefer soccer?

To find the probability a student will prefer soccer, apply the formula:

`P\left(soccer\right)=\frac{number\text{ of students who prefer soccer}}{sample\text{ size}}`

Thus, we have:

`P\left(soccer\right)=(8)/(20)=0.4`

Therefore, the probability a student will prefer soccer is 0.4

• 3. What is the probability that a student will prefer volleyball?

Apply the formula:

`P\left(volleyball\right)=\frac{number\text{ who prefer volleyball}}{sample\text{ size}}`

Hence, we have:

`P\left(volleyball\right)=(5)/(20)=0.25`

Therefore, the probability a student will prefer volleyball is 0.25

4. There are 550 students in the school. Predict how many students at the school prefer track and field.

To find the number of students who prefer track and fied, apply the formula:

`n\left(track\text{ and field\rparen=P\lparen track and field\rparen }\ast\text{ number of students in the school}\right?`

Thus, we have:

`\begin{gathered} n=(4)/(20)\ast550 \\ \\ n=0.2\ast550 \\ \\ n=110 \end{gathered}`

Therefore, if there are 550 students, 110 students will prefer track and field.

ANSWER:

• 1.) 20

,

• 2.) 0.4

,

• 3.) 0.25

,

• 4.) 110