Theoretical DistributionsMCQMTP May 18Question 3561 of 230
All Questions

In a normal distribution skewness is _____

Options

A0
B>1\displaystyle > 1
C<3\displaystyle < 3
D<1\displaystyle < 1
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — 0

All Options:

  • A0
  • B>1\displaystyle > 1
  • C<3\displaystyle < 3
  • D<1\displaystyle < 1

Ad

Detailed Solution & Explanation

**Skewness of a Normal Distribution** Skewness measures the degree of asymmetry of a probability distribution around its mean. - A normal distribution curve is a perfectly symmetrical, bell-shaped curve centered at its mean μ\displaystyle \mu. - Since it is perfectly symmetric, the left half of the curve is a mirror image of the right half. - For any symmetric distribution, all odd central moments are zero, which implies that the third central moment is: μ3=E[(X−μ)3]=0\mu_3 = E[(X - \mu)^3] = 0 - The coefficient of skewness is defined as γ1=μ3σ3\displaystyle \gamma_1 = \frac{\mu_3}{\sigma^3}. Since μ3=0\displaystyle \mu_3 = 0, the skewness coefficient is exactly zero. Thus, the skewness of a normal distribution is 0\displaystyle 0. 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

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