Determine whether the distribution is a probability distribution.

Is the probability distribution a discrete distribution? Why? Choose the correct answer below.


A. No, because the total probability is not equal to 1.


B. Yes, because the probabilities sum to 1 and are all between 0 and 1 comma inclusive.


C. Yes, because the distribution is symmetric.


D. No, because some of the probabilities have values greater than 1 or less than 0.



Answer :

The correct answer is B. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive.
A probability distribution is a mathematical function that describes the likelihood of different outcomes in a random experiment. It satisfies two key properties:
The probabilities must sum to 1: In other words, the total probability of all possible outcomes must be equal to 1. This ensures that the distribution accounts for all possible events.
The probabilities must be non-negative: The probabilities associated with each outcome must be greater than or equal to 0. Negative probabilities are not meaningful in the context of probability distributions.
A discrete probability distribution is one where the random variable takes on a countable set of distinct values (e.g., the outcomes of rolling a fair six-sided die). In such cases, the probabilities associated with each value are discrete and can be expressed as individual probabilities.

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