Which of the following is a characteristic of a binomial distribution ?

2025

Which of the following is a characteristic of a binomial distribution ?

  1. A.

    The events are dependent

  2. B.

    The outcomes are continuous

  3. C.

    There are two outcomes, success or failure

  4. D.

    The Mean is equal to the Mode

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Correct answer: C

To understand the characteristics of a binomial distribution, it helps to identify the specific criteria a process must meet to qualify as one.

Characteristics of a Binomial Distribution
A binomial distribution models the number of successes in a fixed number of trials. For a distribution to be binomial, it must satisfy these conditions:

Fixed Number of Trials: There is a predetermined number of trials (n).

Two Possible Outcomes: Each trial results in only two mutually exclusive outcomes, commonly referred to as "success" or "failure." * Independent Trials: The outcome of one trial does not affect the outcome of any other trial.

Constant Probability: The probability of success (p) remains constant for each trial.

Correct Option
Option C: There are two outcomes, success or failure

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