Experiments with repeated independent trials will be described by the binomial distribution if
A) the trials are continuous.
B) each trial result influences the next.
C) the time between trials is constant.
D) each trial has exactly two outcomes whose probabilities do not change.

Question

Experiments with repeated independent trials will be described by the binomial distribution if​
A) ​the trials are continuous.
B) ​each trial result influences the next.
C) ​the time between trials is constant.
D) ​each trial has exactly two outcomes whose probabilities do not change.

Quizplus · Accepted Answer

The binomial distribution is defined as the probability distribution of the number of successes in a fixed number of independent trials, where each trial has exactly two outcomes (success or failure) and the probability of success remains constant. Therefore, option D is the correct choice as it meets all the criteria for binomial distribution. Options A, B and C do not meet the necessary conditions for a binomial distribution.

Experiments with Repeated Independent Trials Will Be Described by the Binomial