Answer:
The number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.
Step-by-step 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:
[tex]P(\text{yes})=\frac{2}{8}=0.25[/tex]
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:
[tex]E(X)=np\\=36\times 0.25\\=9[/tex]
Thus, the number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.
