NDA 2025
- Exam
- NDA
- Year
- 2025
- Subject
- Mathematics
- Chapter
- Probability
NDA 2025 · Mathematics · Probability
Under which of the following conditions may binomial distribution...
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.
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.
Options
- AII only
- BIII only
- CI and II
- DII and III
Correct answer
D. II and III
Step-by-step solution
The conditions for a binomial distribution are:
1. The number of trials is finite and fixed.
2. The trials are independent of each other.
3. Each trial has exactly two mutually exclusive outcomes, often termed as success and failure.
4. The probability of success remains constant for each trial.
Statement I is incorrect because the number of trials must be finite and fixed.
Statement II is correct because the trials must be independent.
Statement III is correct because each trial must have exactly two possible outcomes.
Therefore, only conditions II and III are correct.
Answer: II and III
1. The number of trials is finite and fixed.
2. The trials are independent of each other.
3. Each trial has exactly two mutually exclusive outcomes, often termed as success and failure.
4. The probability of success remains constant for each trial.
Statement I is incorrect because the number of trials must be finite and fixed.
Statement II is correct because the trials must be independent.
Statement III is correct because each trial must have exactly two possible outcomes.
Therefore, only conditions II and III are correct.
Answer: II and III