i. The mean of a binomial distribution is the product of the probability of success and the number of repetitions of the experiment.
ii. The binomial probability distribution is always negatively skewed.
Iii) 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.
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. The mean of a binomial distribution is the product of the probability of success and the number of repetitions of the experiment. 
ii. The binomial probability distribution is always negatively skewed.
Iii) 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.
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

The mean of a binomial distribution is indeed the product of the probability of success and the number of trials. However, a binomial distribution is not always negatively skewed; it can be symmetric or positively skewed depending on the probability of success. Also, the probability of success and failure remains constant in a binomial distribution.

I the Mean of a Binomial Distribution Is the Product