Theoretical DistributionsMTP June 22Question 3988 of 230
All Questions

The variance of standard normal distribution

Options

A1
B0
Cσ2\displaystyle \sigma^2
D0
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Correct Answer

✅ Option a — 1

All Options:

  • A1
  • B0
  • Cσ2\displaystyle \sigma^2
  • D0

Detailed Solution & Explanation

**Variance of a Standard Normal Distribution** By definition, a standard normal distribution is a special case of the normal distribution where: - The mean (mu\displaystyle \\mu) is set to 0\displaystyle 0. - The standard deviation (sigma\displaystyle \\sigma) is set to 1\displaystyle 1. The variance of any probability distribution is given by the square of its standard deviation: textVariance=sigma2\\text{Variance} = \\sigma^2 Substituting the standard deviation (sigma=1\displaystyle \\sigma = 1) of the standard normal distribution: textVariance=12=1\\text{Variance} = 1^2 = 1 Thus, the variance of the standard normal distribution is 1\displaystyle 1, which corresponds to Option A. 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.

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For a Poisson distribution,

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