which of the following is a valid probability distribution? probability distribution a probability…
which of the following is a valid probability distribution? probability distribution a probability distribution b
Answer
Explanation:
Step1: Recall probability - distribution rules
A valid probability distribution must satisfy two conditions: 1. (0\leq P(x)\leq1) for all (x), and 2. (\sum_{x}P(x) = 1).
Step2: Analyze Probability Distribution A
Visually, all the bar - heights (probabilities) in Probability Distribution A are between 0 and 1. And if we sum up the probabilities of all the discrete values of (x) (assuming equally - spaced (x) values), the sum of non - negative probabilities will be 1.
Step3: Analyze Probability Distribution B
In Probability Distribution B, we can see that the sum of the probabilities of all the values of (x) will be less than 1 since the bar - heights do not account for all possible outcomes to make the total probability 1.