Which of following statements is true regarding the probability distribution for a discrete random variable X?
A) The probabilities must be nonnegative.
B) The probabilities must sum to 1.
C) The random variable must take on positive values between 0 and 1.
D) Both the probabilities must be nonnegative and the probabilities must sum to 1.
E) Both the probabilities must be nonnegative and the random variable must take on positive values between 0 and 1.

Question

Quizplus · Accepted Answer

The probability distribution for a discrete random variable X must have nonnegative probabilities, as probabilities cannot be negative. The probabilities must also sum to 1 since the outcome of any event must be certain. Therefore, choice D is the only true statement.

Which of Following Statements Is True Regarding the Probability Distribution