Theoretical DistributionsMCQMTP Sep 24 Series IQuestion 3476 of 230
All Questions

If mean and standard deviation of a binomial distribution is $10and\displaystyle and2respectively,\displaystyle respectively,q$ will be

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option d — $0.4$

All Options:

  • A$0.4$
  • B$0.8$
  • C$0.6$
  • D$0.4$

Detailed Solution & Explanation

For a Binomial Distribution: Mean =np\displaystyle = np and SD =npq\displaystyle = npq\displaystyle \sqrt{npq}. Given: np=10\displaystyle np = 10 and npq=2\displaystyle npq=2\displaystyle \sqrt{npq} = 2 Squaring the SD: npq=4\displaystyle npq = 4 Dividing Variance by Mean: q=npqnp=410=0.4q = npqnp=410=0\displaystyle \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

Standard Deviation

A measure of the dispersion or spread of values in a data set around the mean. It is the square root of Variance. A lower standard deviation indicates data points are clustered close to the mean; a higher value indicates greater spread.

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

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 $0.5$, the Binomial Distribution is:

For a Poisson distribution,

For Poisson Distribution :

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