Theoretical DistributionsMCQMTP June 2023 Series IIQuestion 3529 of 230
All Questions

For the Poisson distribution:

Options

AEvents are independent of each other
BAverage rate (events per time period) is constant
CTwo events cannot occur simultaneously
DAll of the above
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Correct Answer

✅ Option d — All of the above

All Options:

  • AEvents are independent of each other
  • BAverage rate (events per time period) is constant
  • CTwo events cannot occur simultaneously
  • DAll of the above

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Detailed Solution & Explanation

The fundamental assumptions (conditions) of a Poisson distribution (or Poisson process) are: - **Independence**: The occurrence of an event in any time interval is independent of occurrences in other non-overlapping intervals (Option A). - **Constant Rate**: The probability of an event occurring in a small time interval is proportional to the length of the interval, implying a constant average rate of occurrence (Option B). - **Non-simultaneity**: The probability of more than one event occurring simultaneously in an infinitesimally small interval is negligible (Option C). Since all three statements are core assumptions of the Poisson distribution, the correct option is "All of the above". Hence, **Option D** is the correct answer.

About This Chapter: Theoretical Distributions

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Binomial, Poisson, Normal Distribution

This chapter covers Binomial, Poisson, Normal Distribution and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

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For a Poisson distribution,

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