Which of the following is correct about a probability distribution? (i) Sum of all possible outcomes must equal 1.
(ii. Outcomes must be mutually exclusive.
(iii) Probability of each outcome must be between 0 and 1 inclusive.
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

(i) Sum of all possible outcomes must equal 1, because the total probability of all possible outcomes in an event or experiment must be 1.
(ii) Outcomes must be mutually exclusive, because an event cannot occur in two or more different ways at the same time, so the outcomes must be distinct.
(iii) Probability of each outcome must be between 0 and 1 inclusive, because the probability measures the likelihood of an event or outcome occurring, and it cannot be negative or greater than 1.

Which of the Following Is Correct About a Probability Distribution