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A college bookstore reports that 65% of students enrolled in a particular course request a used copy of the textbook. A random sample of 24 students in this particular class is collected. Let the random variable be the number of students requesting a used copy of the textbook. Is the number of students requesting a used copy a binomial random variable? Select all that apply.

Respuesta :

For each student, there are only two possible outcomes, either they request a used copy of the textbook, or they do not. The probability of a student requesting an used copy is independent of any other student, hence the number of students requesting a used copy is a binomial random variable.

What are the conditions for a variable to be binomial?

The conditions are as follows:

  • There has to be a fixed number of trials.
  • For each trial, there can only be two possible outcomes.
  • The trials must be independent, that is, the probability of a success on all trials must be the same.

In this problem:

  • There is a fixed number of 24 trials.
  • For each student, there are only two possible outcomes, either they request a used copy of the textbook, or they do not.
  • The trials are independent, as the students are chosen at random and hence each has a 65% probability of requesting an used copy of the textbook.

Hence, the number of students requesting a used copy is a binomial random variable.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

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