Which of the following is(are) required condition(s) for a discrete probability function?
A) ∑f(x) = 0
B) f(x) ≥ 1 for all values of x
C) f(x)

Question

Which of the following is(are) required condition(s) for a discrete probability function?
A) ∑f(x) = 0
B) f(x) ≥ 1 for all values of x
C) f(x) < 0
D) None of the answers is correct.

Quizplus · Accepted Answer

A discrete probability function must satisfy two conditions:

1. The sum of all the probabilities must be equal to 1. This is expressed as ∑f(x) = 1, not ∑f(x) = 0 (option A).

2. The probabilities must be non-negative, meaning f(x) ≥ 0 for all values of x. Option B is incorrect because it suggests that f(x) must be greater than or equal to 1, which is not true. Option C is also incorrect because f(x) cannot be negative.

Therefore, the correct answer is D, none of the answers provided are correct.

Which of the Following Is(are) Required Condition(s) for a Discrete