Theoretical DistributionsMTP March 22Question 3986 of 230
All Questions

An example of a bi-parametric continuous probability distribution

Options

ABinomial
BPoisson
CNormal
DChi-square
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Correct Answer

✅ Option c — Normal

All Options:

  • ABinomial
  • BPoisson
  • CNormal
  • DChi-square

Detailed Solution & Explanation

**Bi-parametric Continuous Probability Distribution** Let us analyze the parameters and nature of each probability distribution in the options: 1. **Binomial Distribution:** - Parameters: n\displaystyle n and p\displaystyle p (two parameters implies\displaystyle \\implies bi-parametric) - Nature: **Discrete** probability distribution 2. **Poisson Distribution:** - Parameter: m\displaystyle m (one parameter implies\displaystyle \\implies uni-parametric) - Nature: **Discrete** probability distribution 3. **Normal Distribution:** - Parameters: mu\displaystyle \\mu (mean) and sigma\displaystyle \\sigma or sigma2\displaystyle \\sigma^2 (standard deviation or variance) (two parameters implies\displaystyle \\implies bi-parametric) - Nature: **Continuous** probability distribution 4. **Chi-square Distribution:** - Parameter: n\displaystyle n or k\displaystyle k (degrees of freedom) (one parameter implies\displaystyle \\implies uni-parametric) - Nature: **Continuous** probability distribution From this, the Normal distribution is the only bi-parametric continuous probability distribution among the options. 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.

More Questions from Theoretical Distributions

Find the variance of binomial distribution with n=10\displaystyle n=10, p=0.3\displaystyle p=0.3

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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