In: Statistics and Probability
Which of the following might be modelled by the binomial
distribution (select all that apply).
A. The number of people who gave a "thumbs up" to a movie.
B. The number of caterpillars in a garden.
C. The number of times a woman correctly guesses whether tea was
poured first or milk was poured first, in a trial of 6 tea
cups.
D. In a cohort study, the number of participants that develop heart
disease.
If any of the conditions do not met then it cannot be considered as a binomial random variable. For ex. In some cases we study how much time people have been contacted with smoking in the past . Including this factor itself eliminates the possibility of becoming this a binomial random variable. If the experiment for the exposure is fixed and it works seperately for each individual then we can consider this as a binomial random variable.