Theoretical DistributionsMCQMTP Oct 21Question 3517 of 230
All Questions

For a Poisson distribution,

Options

Amean and standard deviation are equal
Bmean and variance are equal.
CSD and variance are equal.
Dboth (a) and (b).
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Correct Answer

✅ Option b — mean and variance are equal.

All Options:

  • Amean and standard deviation are equal
  • Bmean and variance are equal.
  • CSD and variance are equal.
  • Dboth (a) and (b).

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Detailed Solution & Explanation

For a Poisson distribution with parameter m\displaystyle m, the mean is given by: Mean=m\text{Mean} = m The variance is given by: Variance=m\text{Variance} = m The standard deviation is given by: Standard Deviation=m\text{Standard Deviation} = \sqrt{m} Thus, the mean and the variance of a Poisson distribution are always equal. Hence, **Option B** 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 Poisson Distribution :

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