Question

which of the following conditions are necessary to use the binomial distribution?
i. there is a series of n trials.
ii. each trial has only two possible outcomes.
iii. the outcomes are not mutually exclusive.
iv. there is dependence between the outcomes of each trial.
○ i and ii only
○ i, ii and iv only
○ i only
○ iii and iv only

Explanation:

For a binomial distribution, there must be a fixed number of trials (\(N\) trials). Each trial should have only two possible outcomes (success - failure type). The outcomes of each trial must be independent (not dependent as in IV) and the two outcomes of a trial are mutually exclusive (opposite of III).

Answer:

I and II only