Theoretical DistributionsMCQMTP June 2023 Series IIQuestion 3594 of 230
All Questions

Which of the following is not a property of normal distribution?

Options

AThere are two points of inflexion.
BMean, median and mode coincide for normal distribution
CSkewness is zero
DAll the above
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — All the above

All Options:

  • AThere are two points of inflexion.
  • BMean, median and mode coincide for normal distribution
  • CSkewness is zero
  • DAll the above

Ad

Detailed Solution & Explanation

**Properties of Normal Distribution** Let us evaluate each of the given statements about the normal distribution: 1. **Points of Inflexion (Option A):** The probability density curve of a normal distribution has exactly two points of inflexion, occurring at x=mu−sigma\displaystyle x = \\mu - \\sigma and x=mu+sigma\displaystyle x = \\mu + \\sigma. Thus, this is a property. 2. **Mean, Median, and Mode Coinciding (Option B):** Since the normal curve is perfectly symmetric and bell-shaped, the central tendency values (mean, median, and mode) are all equal and coincide at the center of the curve. Thus, this is a property. 3. **Skewness is Zero (Option C):** A perfectly symmetric distribution has a skewness coefficient of exactly 0\displaystyle 0. Thus, this is a property. Since statements A, B, and C are all properties of a normal distribution, none of them are "not a property". *Note on discrepancy:* In standard textbook multiple-choice question formatting, Option D "All the above" is intended to represent that all statements are valid properties, or the option is a typo for "None of the above". Under either interpretation, Option D is the correct option to select. 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.

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