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30 November, 21:34

An experimental drug is administered to 80 randomly selected individuals, with the number of individuals responding favorably recorded. Does the probability experiment represent a binomial experiment?

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  1. 30 November, 22:57
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    Yes, because the experiment satisfies all the criteria for a binomial experiment.

    Step-by-step explanation:

    A binomial experiment has the following criterias,

    1. There must be a fixed number of trials

    2. Each trial is independent of the others

    3. There must be only two outcomes (success and failure)

    4. The probability of each outcome is same.

    Given,

    An experimental drug is administered to 80 randomly selected individuals, with the number of individuals responding favorably recorded,

    The number of trials = 80 (fixed)

    Each individuals is independent,

    Total outcomes = 2 (yes or no),

    Also, the probability of each individual is same,

    Hence, the given probability experiment represent a binomial experiment.
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