In a binomial experiement, what does it mean to say that each trial is independent of the other trials? Choose the correct answer below.

A. Each trial is independent of the other trials if the sum of all the possible trial outcomes equals 1.

B. Each trial is independent of the other trials if the outcome of one trial does not affect the outcome of any of the other trials.

C. Each trial is independent of the other trials if the outcome of one trial affects the outcome of another trial.

D. Each trial is independent of the other trials if no more than one trial occurs at a time.

Question

Mathematics

Johnny Joseph

30 May, 14:25

In a binomial experiement, what does it mean to say that each trial is independent of the other trials? Choose the correct answer below.

A. Each trial is independent of the other trials if the sum of all the possible trial outcomes equals 1.

B. Each trial is independent of the other trials if the outcome of one trial does not affect the outcome of any of the other trials.

C. Each trial is independent of the other trials if the outcome of one trial affects the outcome of another trial.

D. Each trial is independent of the other trials if no more than one trial occurs at a time.

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Answers (1)

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Mathews · Answer 1

B. Each trial is independent of the other trials if the outcome of one trial does not affect the outcome of any of the other trials.

Step-by-step explanation:

The binomial experiment consists of n-trials whose outcomes are either successes or failures.

Success means the outcome is the event in question and failure means the outcome is not the event in question.

The trials being independent means, the outcomes of the trials are mutually exclusive.

In other words, the outcome of one trial does not affect the outcome of any other trials.

For instance, if a coin is tossed 3 times, the outcomes are independent of one another. This means that, the outcome of one toss in no way affects the outcome of another toss.