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NDA 2 2025 Maths, question 106

Topic: Probability

Q106

Under which of the following conditions may binomial distribution be used?

I. The number of trials is infinite and not fixed.

II. The trials are independent.

III. Each trial has two possible outcomes.

Select the correct answer using the code given below.

  1. (a) II only
  2. (b) III only
  3. (c) I and II
  4. (d) II and IIICorrect answer

Solution.

Answer: (d) II and III

  1. A binomial model has a fixed finite number of independent trials, two outcomes per trial, and a constant success probability.
  2. Therefore II and III are correct while I is false.
  3. Constant probability is another necessary condition although it is not one of the displayed statements.