Theoretical DistributionsMCQPYQ Nov. 20Question 3484 of 230
All Questions

Which of the following is uni-parametric distribution?

Options

APoisson
BNormal
CBinomial
DHyper geometric
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Correct Answer

Option aPoisson

All Options:

  • APoisson
  • BNormal
  • CBinomial
  • DHyper geometric

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Detailed Solution & Explanation

A **uni-parametric distribution** is one that is completely defined by a single parameter.\n\n**Analysis of each distribution:**\n\n| Distribution | Parameters | Count |\n|---|---|---|\n| Poisson | m\displaystyle m (mean) | **1** |\n| Normal | mu\displaystyle \\mu (mean), sigma\displaystyle \\sigma (S.D.) | 2 |\n| Binomial | n\displaystyle n (trials), p\displaystyle p (probability) | 2 |\n| Hyper geometric | N\displaystyle N, K\displaystyle K, n\displaystyle n | 3 |\n\n**Poisson distribution** is defined by only **one parameter** m\displaystyle m (the mean), which also equals the variance. All probabilities can be computed solely from m\displaystyle m.\n\nP(X=k)=emmkk!,k=0,1,2,P(X = k) = \frac{e^{-m} \cdot m^k}{k!}, \quad k = 0, 1, 2, \ldots\n\nHence, **Option A** 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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