Question H What is a discrete probability distribution? What are the two conditi

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Question H What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a discrete probability distribution? Choose the correct answer below A. A discrete probability distribution lists each possible value a random variable can assume. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. ° C. A discrete probability distribution exclusively lists probabilities 0 D. None of the above What are the two conditions that determine a probability distribution? Choose the correct answer below 0 A. The probability of each value of the discrete random variable is greater than 0 and less than 1, and the sum of all the probabilities can be any a O B. The probability of each value of the discrete random variable is greater than 0 and less than 1 and the sum of all the probabilties is 1 each value of the discrete random variable is between 0 and 1. inclusive, and the sum of all the probabilities can be any amount D. The probability of each value of the discrete random variable is between 0 and 1, inclusive, and the sum of all the probabilities is 1 Click to select your answer 7-22 PM

Explanation / Answer

Probability Distribution

Given a discrete random variable X, the set of all values, x1, x2, x3, ........, the random variable can take alongwith the corresponding probabilities, p(x1), p(x2), p(x3), ......., constitutes the probability distribution of the random variable.

i.e., {x, p(x)} describes the probability distribution of the random variable.

So, correct option is B ANSWER

Conditions of Probabiity Distribution

1. For each value xi, of the random variable X, the probability p(xi) must be a no-negative proper fraction, i.e., 0 p(xi) 1

2. Sum of all p(xi) summed over all possible values xi must be 1.

So, correct option is D ANSWER

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