Question

Jasmine created this spinner to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break. Is the Student Traveling? A spinner with 8 equal sections labeled yes, yes, no, no, no, no, no, no. 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 answer is B or 9

Hope this helps!

Answer 2

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:

`P(\text{yes})=(2)/(8)=0.25`

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:

`E(X)=np\\=36* 0.25\\=9`

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