Which of the following best describes a binomial probability distribution?
A) It is a probability distribution that shows the probabilities associated with possible values of a discrete random variable that are generated by a binomial experiment.
B) It is a probability distribution that shows, for each of a random variable's possible values, the probability of the variable being less than or equal to that value.
C) It is a probability distribution that shows the probabilities associated with possible values of a discrete random variable when these values are generated by sampling without replacement and the probability of success, therefore, changes from one trial to the next.
D) It is a probability distribution that shows the probabilities associated with possible values of a discrete random variable when these values equal the number of occurrences of a specified event within a specified time or space.
E) It is a probability distribution that shows, for each of a random variable's possible values, the probability of the variable is positive.

Question

Quizplus · Accepted Answer

A binomial probability distribution is a probability distribution that shows the probabilities associated with possible values of a discrete random variable that are generated by a binomial experiment. In a binomial experiment, there are only two possible outcomes (success or failure) for each trial, the trials are independent of one another, the probability of success remains constant for all trials, and the experiment consists of a fixed number of trials. The binomial distribution is used to model the number of successes in a fixed number of independent trials with a constant probability of success.

Which of the Following Best Describes a Binomial Probability Distribution