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

Question

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

Quizplus · Accepted Answer

The sum of all probabilities for all events in a discrete probability function must equal 1, which is the definition of a probability distribution. Option A is incorrect because f(x) can be 0 for certain values of x. Option C is incorrect because the sum cannot be 0 unless all probabilities are 0, which is not a valid probability distribution. Option D is incorrect because it implies that the sum of probabilities can be greater than 1, which is not allowed.

Which of the Following Is a Required Condition for a Discrete