Question

Niacin is particularly important for men over 50 since it helps them to maintain healthy blood cholesterol levels. A researcher randomly selects 10 men over 50 years old and ascertains whether or not each individual's level of niacin in his bloodstream is high, average, or low. Does this constitute a binomial experiment?

Answer 1

The experiment conducted by the researcher does not constitute a binomial experiment.

Explanation:

A researcher wants to determine the level of Niacin in men over the age of 50 years.

In any particular man, the level of Niacin is either high, average or low.

This implies that for every sample there are three different outcomes.

The experiment performed by the researcher is not a Binomial experiment.

In a Binomial experiment, there are n independent and repeated trials.

Each trial has only two outcomes: Success (S) or failure (F).

And each outcome has the same probability of occurrence.

Thus, the experiment conducted by the researcher does not constitute a binomial experiment.