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) All statements are false

Question

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) All statements are false

Quizplus · Accepted Answer

Statement (i) is correct as a binomial distribution involves two mutually exclusive outcomes. Statement (ii) is incorrect because the probability of success and failure remains constant across trials. Statement (iii) is incorrect because the mean is calculated by multiplying the probability of success by the number of trials, not the probability of failure.

I a Binomial Distribution Has a Characteristic That an Outcome