Theoretical DistributionsMTP Dec 22 Series IIQuestion 3990 of 230
All Questions

Area between -1.96 to +1.96 in a normal distribution is :

Options

A95.45%
B95%
C96%
D99%
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Correct Answer

Option b95%

All Options:

  • A95.45%
  • B95%
  • C96%
  • D99%

Detailed Solution & Explanation

**Area Under Normal Curve** For a standard normal variable Z\displaystyle Z: - The probability that Z\displaystyle Z lies within pm1.96\displaystyle \\pm 1.96 standard deviations from the mean is represented by the area: P(1.96leZle1.96)approx0.9500P(-1.96 \\le Z \\le 1.96) \\approx 0.9500 - Expressed as a percentage, the area covers exactly 95\displaystyle 95\\% of the total area under the normal curve. (This corresponds to the standard 95\displaystyle 95\\% confidence interval in statistical inference). Therefore, the area is 95\displaystyle 95\\%, which matches Option B. Hence, **Option B** 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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