(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 the probability of success.
(iii) In a binomial experiment, probability of success or failure remains constant 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 (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

Option (i) is correct because the binomial distribution approaches a symmetric shape as the number of trials increases and the probability of success remains constant. Option (ii) is incorrect because the probability of success and failure always adds up to 1, but they need not be equal. Option (iii) is correct because in a binomial experiment, the probability of success or failure remains constant from one trial to the next. Therefore, only options (i) and (iii) are correct, which makes option (C) the best choice.

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