(i. A binomial probability distribution approaches a greater degree of symmetry as probability of success remains constant and the number of trials becomes larger or greater. (ii) In a binomial experiment, the probability of a failure equals (1 - probability of success).
(iii) In a binomial experiment, probability of success or failure changes from one trial to another.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (ii) are correct statements but not (iii).
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 a correct statement because as the number of trials increase, the distribution becomes more normal in shape, which is symmetric. 
(ii) is a correct statement because the total probability of any binomial distribution equals 1, which implies that the probability of failure is 1 minus the probability of success. 
(iii) is incorrect because in a binomial experiment, the probability of success or failure remains constant from one trial to the next.

(I a Binomial Probability Distribution Approaches a Greater Degree of Symmetry