(i. To construct a binomial distribution we need to know the total number of trials and the probability of a success. (ii) If n = 900 and $\pi$ = 1/3, the variance of this binomial distribution is 200.
(iii) If $\pi$ = 1/5 and n = 100, the standard deviation of this binomial distribution is 20.
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 as binomial distribution requires the total number of trials and probability of success. 
(ii) is also correct because the variance of a binomial distribution is np(1-p), where n is the total number of trials and p is the probability of success. Here, n=900 and p=1/3, so variance = 900*(1/3)*(2/3) = 200. 
(iii) is incorrect because the standard deviation of a binomial distribution is the square root of variance, which in this case would be 15. However, the statement implies that the standard deviation is 20.

(I to Construct a Binomial Distribution We Need to Know π\piπ

(I to Construct a Binomial Distribution We Need to Know $\pi$