Which one of the following statements is correct regarding the use of probabilit

Question

Which one of the following statements is correct regarding the use of probability distributions?

a. discrete probability distributions have an infinite number of possible outcomes and are typically used as severity distributions

b. the sum of all even probabilities in a probability distribution must be equal to 1, or 100%

c. theoretical probabilities are mutually exclusive, while empirical probabilities are collectively exhaustive

d. probability distribution tables reflect probabilities for only the most probable even categories

Explanation / Answer

i think even should be spelled as event above.

a) discrete probability distributions have an finite number of possible outcomes while continuous probability distributions have an infinite number of possible outcomes therefore a is incorrect.

probability distribution tables reflect probabilities for only the most probable event categories d is incorrect since probability distribution tables reflect probabilities for all the probable events.

theoretical probabilities are mutually exclusive as well as exhaustive whereas while empirical probabilities need not be collectively exhaustive. so c is incorrect

What remaining is b. the sum of all event probabilities in a probability distribution must be equal to 1, or 100% is correct. choose b.

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