Question

Jasmine created this spinner to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break.

Jasmine’s spinner is designed to reflect data she gathered by surveying 36 students in her gym class.

How many of the students Jasmine surveyed indicated they would be traveling during the holiday break?
2
9
12
27

Answer 1

The number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.

Explanation:

The spinner created by Jasmine, to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break, has 8 equal sections labeled:

{yes, yes, no, no, no, no, no, no}

So, there are two sections labeled yes and six labelled as no.

Compute the probability of a yes as follows:

Jasmine selected n = 36 students in her gym class.

If a student in her school will be traveling during the upcoming holiday break is independent of the other students.

Let the random variable X be defined as the number f students that will be traveling during the upcoming holiday break.

The random variable X follows a Binomial distribution with parameters n = 36 and p = 0.25.

Compute the expected value of X as follows:

Thus, the number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.

Answer 2

Answer: 9

Explanation:

There are 8 equal sections which are meant to reflect the data Jasmine collected from surveying the students.

This means that each section represents;

= 36/8

= 4.5 students.

There are 2 sections that represent the number of students who said they would be traveling during the holiday break.

= 4.5 * 2

= 9 students