Select all the statements that are conditions for a
binomial experiment.
A. There is a fixed number of trials.
B. Each trial has two possible outcomes.
C. The trials are dependent.
☐ D. The trials are independent.
E. The probability is constant throughout the
trials.
F. The probability may vary throughout the
trials.



Answer :

Final answer:

A binomial experiment must have a fixed number of trials, two possible outcomes per trial, and independence between trials.


Explanation:

Binomial experiments are characterized by three conditions:

  1. There is a fixed number of trials, n.
  2. Each trial has two possible outcomes, typically success and failure.
  3. The trials are independent and conducted under identical conditions.

An example of a binomial experiment is flipping a fair coin multiple times to count the number of heads, where each flip is independent, with two outcomes (heads or tails), and a constant probability of success (0.5).


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