Theoretical DistributionsMCQPYQ May 18Question 3415 of 230
All Questions

Probability distribution may be

Options

ADiscrete
BContinuous
CInfinite
D(a) or (b)
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — (a) or (b)

All Options:

  • ADiscrete
  • BContinuous
  • CInfinite
  • D(a) or (b)

Ad

Detailed Solution & Explanation

**Types of Probability Distributions** A **probability distribution** is a function that describes the likelihood of obtaining the possible values of a random variable. **Two fundamental types:** **1. Discrete Probability Distribution:** - The random variable X\displaystyle X takes **countable** values: 0,1,2,3,…\displaystyle 0, 1, 2, 3, \ldots - Example: Binomial Distribution, Poisson Distribution - P(X=r)≥0\displaystyle P(X = r) \geq 0 and ∑rP(X=r)=1\displaystyle \sum_r P(X = r) = 1 **2. Continuous Probability Distribution:** - The random variable X\displaystyle X takes **any value** in a continuous range (interval) - Example: Normal Distribution, Exponential Distribution - f(x)≥0\displaystyle f(x) \geq 0 and ∫−∞∞f(x) dx=1\displaystyle \int_{-\infty}^{\infty} f(x)\,dx = 1 **Checking the options:** - **Option A (Discrete):** Partially correct — distributions can be discrete. - **Option B (Continuous):** Partially correct — distributions can also be continuous. - **Option C (Infinite):** "Infinite" is not a type of probability distribution. - **Option D [(a) or (b)]:** Correct — probability distributions can be either discrete OR continuous. A probability distribution is classified as **discrete or continuous** depending on the nature of the random variable. Hence, **Option D** 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

Probability

A numerical measure of the likelihood of an event occurring, expressed as a number between 0 (impossible) and 1 (certain). Formula: P(A) = Number of favorable outcomes / Total number of equally likely outcomes.

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,

Ready to Master Theoretical Distributions?

Practice all 230 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free