The university additionally surveyed 45 students who were eligible to take the proposed Sports Analytics elective. Each student was asked whether they would enrol if the course were offered (either "yes" or "no").
Which distribution is most appropriate for modelling the number of students, out of the 45 surveyed, who say they would enrol?

Question

The university additionally surveyed 45 students who were eligible to take the proposed Sports Analytics elective. Each student was asked whether they would enrol if the course were offered (either "yes" or "no").

Which distribution is most appropriate for modelling the number of students, out of the 45 surveyed, who say they would enrol?

Answer

Binomial, because there is a fixed number of independent students, each with the same probability of answering "yes".

Answer

Exponential, because the outcome measures how long students take to decide.

Answer

Gamma, because the number of "yes" responses is positive and could be skewed, hence having the same probability of answering "no".

Answer

Normal, because the sample size of 45 is large enough for the central limit theorem to apply.

Answer

Poisson, because the responses are counts of students.

Crowdly

The university additionally surveyed 45 students who were eligible to take the p...

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