Elementary Stats: Discrete Probability Distributions (Vocab)

What does the binomial distribution represent in probability theory?

• The distribution of a variable over a continuous range.

• The probability distribution of a random variable with two possible outcomes.

• The average rate of occurrence of events in a fixed interval.

• The outcomes of a random variable with more than two possible outcomes.

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What is a binomial experiment?

• An experiment where each trial has a continuous range of outcomes.

• An experiment where the number of trials changes with each repetition.

• An experiment where each trial has only two outcomes and the number of trials and probability of success remain the same.

• An experiment that describes the number of events that occur in a fixed interval of time or space.

What is described by a discrete probability distribution?

• The average value that a random variable is expected to take over a large number of trials.

• The probabilities of the possible values of a continuous random variable.

• The probabilities of the possible values of a discrete random variable.

• The probability distribution of a random variable with more than two possible outcomes.

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What does the expected value of a random variable represent?

• The sum of all possible values of the random variable.

• The most likely value the random variable will take in a single trial.

• The measure of the central tendency of its probability distribution.

• The probability of success in a binomial experiment.

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What is the hypergeometric distribution?

• A distribution describing the probability of a specified number of successes in a fixed number of draws from a continuous population without replacement.

• A distribution describing the probability of a specified number of successes in a fixed number of draws from a finite population without replacement.

• A distribution that generalizes the binomial distribution to experiments with more than two possible outcomes.

• A distribution that describes the number of events that occur in a fixed interval of time or space.

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What is the multinomial distribution?

• A distribution for a random variable with two possible outcomes.

• A distribution that describes the number of events that occur in a fixed interval of time or space.

• A generalization of the binomial distribution to experiments with more than two possible outcomes.

• A distribution describing the probability of a specified number of successes in a fixed number of draws from a finite population.

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What does the Poisson distribution describe?

• The probability distribution of a random variable with two possible outcomes.

• The probability distribution that describes the number of events that occur in a fixed interval of time or space.

• The measure of the central tendency of a random variable's probability distribution.

• The outcomes of a random variable with more than two possible outcomes.

What is a random variable?

• A variable that can only take two possible outcomes.

• A variable whose possible values are outcomes of a random phenomenon and assigns a numerical value to each outcome.

• A variable that describes the average rate of occurrence of events.

• A variable that represents the number of each outcome in a fixed number of independent trials.

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