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Question

Mathematics Question on Bernoulli Trials and Binomial Distribution

Which of the following are true for the trials of a random experiment to be a Bernoulli's trial?
(A) There should be finite number of trials.
(B) The trials should be dependent.
(C) Each trial should have at least two outcomes.
(D) The probability of success remains the same in each trial.
Choose the correct answer from the options given below:

A

(A), (B), (C), and (D)

B

(A), (B), and (C) only

C

(A) and (D) only

D

(B) and (D) only

Answer

(A) and (D) only

Explanation

Solution

For a random experiment to be classified as a Bernoulli’s trial, the following conditions must be satisfied: - There must be a finite number of trials. Hence, (A) is correct. - The trials must be independent. Therefore, (B) is incorrect. - Each trial should have exactly two possible outcomes: success or failure.
Therefore, (C) is incorrect. - The probability of success should remain constant for each trial. Hence, (D) is correct.
Thus, only (A) and (D) are true for Bernoulli’s trials.