Question

What constitute a discrete probability distribution?

A. A list of all possible outcomes
B. A list of all relative frequencies
C. Both of the above
D. The first two above and the cumulative relative frequencies

Answer 1

A discrete probability distribution consists of the list of possible outcomes and their corresponding probabilities, which must sum up to one. The correct answer is C. Both of the above.

Step-by-step explanation:

A discrete probability distribution consists of the values that the random variable may take on and the corresponding probabilities for those values. Therefore, the correct answer to the question 'What constitute a discrete probability distribution?' is C. Both of the above. This means that a discrete probability distribution includes:

• A list of all possible outcomes of the random variable.
• A list of all relative frequencies or probabilities associated with each outcome.

Additionally, these probabilities must adhere to two important criteria:

1. Each probability is between zero and one, inclusive.
2. The sum of all probabilities is one, ensuring that they form a valid probability distribution.

The relative frequency distribution is an empirical distribution that illustrates the frequency of occurrence of each value. It identifies the proportion of the time a particular value occurs.

To answer part D, 'Find the probability that from 10 to 14-inclusive questions are posted to the listserv on a randomly picked day,' additional information would be needed to calculate this probability, such as the probability distribution function for the number of questions posted.

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