Theoretical DistributionsMTP Dec 2023 Series IIQuestion 3979 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 a — Poisson

All Options:

  • APoisson
  • BNormal
  • CBinomial
  • DHyper geometric

Detailed Solution & Explanation

**Uni-parametric Probability Distribution** A probability distribution is called **uni-parametric** if its probability function is completely determined by a **single parameter**. Let us evaluate the parameters of each option: 1. **Poisson Distribution:** - Defined by a single parameter m\displaystyle m (the mean rate of occurrence). - Knowing m\displaystyle m allows us to calculate all probabilities and moments. - Therefore, it is **uni-parametric**. \u2713 2. **Normal Distribution:** - Defined by two parameters: mu\displaystyle \\mu (mean) and sigma\displaystyle \\sigma (standard deviation). - Therefore, it is **bi-parametric**. \u2717 3. **Binomial Distribution:** - Defined by two parameters: n\displaystyle n (number of trials) and p\displaystyle p (probability of success). - Therefore, it is **bi-parametric**. \u2717 4. **Hypergeometric Distribution:** - Defined by three parameters: N\displaystyle N (population size), M\displaystyle M (number of successes in population), and n\displaystyle n (sample size). - Therefore, it is **tri-parametric**. \u2717 **Conclusion:** The Poisson distribution is the only uni-parametric distribution among the choices, which corresponds to Option A. Hence, **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.

More Questions from Theoretical Distributions

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When p=0.5\displaystyle p=0.5, the binomial distribution is

If mean and standard deviation of a binomial distribution is 10\displaystyle 10 and 2\displaystyle 2 respectively, q\displaystyle q will be

A random variable X\displaystyle X follows Binomial Distribution With E(x)=2\displaystyle E(x)=2 and V(x)=1.2\displaystyle V(x)=1.2, then the value of n\displaystyle n is

When 'p\displaystyle p' is large than 0.5\displaystyle 0.5, the Binomial Distribution is:

For a Poisson distribution,

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