Theoretical DistributionsMCQMTP June 24 Series IIIQuestion 3475 of 230
All Questions

When p=0.5\displaystyle p=0.5, the binomial distribution is

Options

AAsymmetrical
BSymmetrical
CBoth of above
DNone of above
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Correct Answer

Option bSymmetrical

All Options:

  • AAsymmetrical
  • BSymmetrical
  • CBoth of above
  • DNone of above

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Detailed Solution & Explanation

The shape of a Binomial Distribution depends on the value of p\displaystyle p: - When p=q=0.5\displaystyle p = q = 0.5, the distribution is **Symmetrical** (perfectly bell-shaped). - When pq\displaystyle p \neq q, the distribution is skewed (asymmetrical). Since p=0.5q=0.5\displaystyle p = 0.5 \Rightarrow q = 0.5, we have p=q\displaystyle p = q, so the distribution is symmetrical. 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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