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Which of the following is true for binomial distribution?

  1. A
    Applicable for independent events only. Trials are different but Experiment is the same.
  2. B
    Applicable for dependent as well as independent events.
  3. C
    Mean of Binomial random variable will always be smaller than its variance.
  4. D
    None

Solution & Step-by-step Explanation

Properties of Binomial Distribution:Trials must be independent.Probability of success is constant.Mean , Variance .Since and , is always less than .Therefore, Mean > Variance.Option A correctly describes the independence and identical nature of trials.

Practice this question

Try it yourself before checking the explanation above.

Which of the following is true for binomial distribution?
A
Applicable for independent events only. Trials are different but Experiment is the same.
B
Applicable for dependent as well as independent events.
C
Mean of Binomial random variable will always be smaller than its variance.
D
None

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