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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:
Jasmine selected <em>n</em> = 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 <em>X</em> be defined as the number f students that will be traveling during the upcoming holiday break.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 36 and <em>p</em> = 0.25.
Compute the expected value of <em>X</em> as follows:
Thus, the number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.