Theoretical DistributionsMCQMTP Sep 24 Series IQuestion 3476 of 230
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If mean and standard deviation of a binomial distribution is 10\displaystyle 10 and 2\displaystyle 2 respectively, q\displaystyle q will be

Options

A0.4\displaystyle 0.4
B0.8\displaystyle 0.8
C0.6\displaystyle 0.6
D0.4\displaystyle 0.4
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Correct Answer

Option d0.4\displaystyle 0.4

All Options:

  • A0.4\displaystyle 0.4
  • B0.8\displaystyle 0.8
  • C0.6\displaystyle 0.6
  • D0.4\displaystyle 0.4

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Detailed Solution & Explanation

For a Binomial Distribution: Mean =np\displaystyle = np and SD =npq\displaystyle = \sqrt{npq}. Given: np=10\displaystyle np = 10 and npq=2\displaystyle \sqrt{npq} = 2 Squaring the SD: npq=4\displaystyle npq = 4 Dividing Variance by Mean: q=npqnp=410=0.4q = \frac{npq}{np} = \frac{4}{10} = 0.4 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.

Key Concepts to Understand

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