(i. A continuous 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 false because a continuous random variable can assume an infinite number of values within a given range, not just certain separated values. (ii) is true as the total probability of all outcomes in a probability distribution must equal one. (iii) is false as a general statement because in a binomial experiment, the probabilities of success and failure do not have to be equal; they can vary.

(I a Continuous Random Variable Can Assume Only a Certain