Theoretical DistributionsMCQMTP March 22Question 3588 of 230
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An example of a bi-parametric continuous probability distribution

Options

ABinomial
BPoisson
CNormal
DChi-square
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Correct Answer

Option cNormal

All Options:

  • ABinomial
  • BPoisson
  • CNormal
  • DChi-square

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Detailed Solution & Explanation

**Bi-parametric Continuous Probability Distribution** Let us analyze the parameters and support of each distribution: 1. **Binomial distribution:** - Parameters: n\displaystyle n and p\displaystyle p (two parameters     \displaystyle \implies bi-parametric) - Support: Discrete (integer counts 0,1,,n\displaystyle 0, 1, \dots, n) 2. **Poisson distribution:** - Parameter: m\displaystyle m (one parameter     \displaystyle \implies uni-parametric) - Support: Discrete (integer counts 0,1,2,\displaystyle 0, 1, 2, \dots) 3. **Normal distribution:** - Parameters: Mean μ\displaystyle \mu and variance σ2\displaystyle \sigma^2 (two parameters     \displaystyle \implies bi-parametric) - Support: Continuous (all real numbers from \displaystyle -\infty to \displaystyle \infty) 4. **Chi-square distribution:** - Parameter: Degrees of freedom n\displaystyle n (one parameter     \displaystyle \implies uni-parametric) - Support: Continuous (x0\displaystyle x \ge 0) Therefore, the Normal distribution is a bi-parametric continuous probability distribution. This matches Option C. Hence, **Option C** 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.

Key Concepts to Understand

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