(i. A discrete random variable can assume only a certain number of separated values. (ii) The sum of the probabilities of the mutually exclusive outcomes of a probability distribution must equal one.
(iii) In a binomial experiment, the probability of a failure equals the probability of success.
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 a discrete random variable can only take on specific values and not values in between. 
(ii) is also correct as the sum of probabilities of all possible outcomes in a distribution must sum to 1. 
However, (iii) is incorrect, as the probability of success and failure in a binomial experiment must add up to 1, not necessarily be equal. The probability of success is typically denoted as p and the probability of failure would be denoted as (1 - p).

(I a Discrete Random Variable Can Assume Only a Certain