i. A binomial distribution has a characteristic that an outcome of an experiment is classified into one of two mutually exclusive categories (a success or a failure). ii. A binomial distribution has the characteristic that the probability of a success stays the same for each trial, but the probability of a failure varies from trial to trial.
iii. The mean of a binomial probability distribution can be determined by multiplying the probability of a failure by the number of trials.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

(i) is correct because it accurately describes a binomial distribution, where outcomes are binary (success or failure). (ii) is incorrect because in a binomial distribution, the probability of success remains constant across all trials, not just the probability of success while the probability of failure varies. (iii) is incorrect because the mean of a binomial distribution is found by multiplying the number of trials (n) by the probability of success (p), not the probability of failure.

I a Binomial Distribution Has a Characteristic That an Outcome