Determine if the following could be a probability distribution for a discrete random variable, X. If no, state why. X 20 30 40 50 P (X=x) 1.1 0.6.2.1 Yes, the probabilities are all positive. No, while the probabilities are all positive, the P (X=20) = 1.1. Probabilities cannot exceed 1. No, the values of X are too far apart and the probabilities add up to a value greater than 1. Yes, the probabilities add to 1 and they are all positive.

Question

Mathematics

Aiyana Castro

19 October, 11:27

Determine if the following could be a probability distribution for a discrete random variable, X. If no, state why. X 20 30 40 50 P (X=x) 1.1 0.6.2.1 Yes, the probabilities are all positive. No, while the probabilities are all positive, the P (X=20) = 1.1. Probabilities cannot exceed 1. No, the values of X are too far apart and the probabilities add up to a value greater than 1. Yes, the probabilities add to 1 and they are all positive.

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Answers (1)

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Elvis Whitehead · Answer 1

Step-by-step explanation:

We know that the probability p of a given event is 0 ≤ p ≤1. This means that given an event, its probability should be between zero and one.

In this problem we see that P (X=20) = 1.1 which is greater than one. Therefore, this cannot be a probability distribution given that this particular case exceeds the value of 1.