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Provide an appropriate response.
-Three random variables X, Y, and Z, are described below. In which of these situations would it be acceptable to use the binomial distribution?
A: A bag contains 4 blue marbles and 8 red marbles. Five marbles are drawn at random with
Replacement. The random variable X is the number of blue marbles drawn.
B: A bag contains 4 blue marbles and 8 red marbles. Six marbles are drawn at random without
Replacement. The random variable Y is the number of blue marbles drawn.
C: A bag contains 30 blue marbles and 38 red marbles. Three marbles are drawn at random without Replacement. The random variable Z is the number of blue marbles drawn.
Laboratory Observation
A research method where subjects are observed in a controlled environment to ensure accuracy and control over variables.
Artificial Setting
An environment created or controlled by researchers to simulate conditions for experiments, often differing significantly from natural or real-world settings.
Brain Activity
Refers to the electrical and chemical processes occurring within the brain that enable thoughts, feelings, and behaviors.
Standardized
Referring to a process, method, or item that is made consistent and uniform across different situations, often to ensure reliability, comparability, and fairness.
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