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Which of the following statements about probability distributions is least accurate?

A) In a binomial distribution each observation has only two possible outcomes that are mutually exclusive.

B) A probability distribution includes a listing of all the possible outcomes of an experiment.

C) A probability distribution is, by definition, normally distributed.

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Probabilities must be zero or positive, but a probability distribution is not necessarily normally distributed. Binomial distributions are either successes or failures.

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Which of the following statements about probability distributions is least accurate?

A) A discrete random variable is a variable that can assume only certain clearly separated values resulting from a count of some set of items.

B) The skewness of a normal distribution is zero.

C) A binomial probability distribution is an example of a continuous probability distribution.

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The binomial probability distribution is an example of a discrete probability distribution. There are only two possible outcomes of each trial and the outcomes are mutually exclusive. For example, in a coin toss the outcome is either heads or tails.
The other responses are both correct definitions.

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Which of the following is least likely a probability distribution?

A) Roll an irregular die: p(1) = p(2) = p(3) = p(4) = 0.2 and p(5) = p(6) = 0.1.

B) Flip a coin: P(H) = P(T) = 0.5.

C) Zeta Corp.: P(dividend increases) = 0.60, P(dividend decreases) = 0.30.

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All the probabilities must be listed. In the case of Zeta Corp. the probabilities do not sum to one.