Theoretical DistributionsMTP Dec 2023 Series IIQuestion 3997 of 230
All Questions

The wages of workers of a factory follows

Options

ABinomial distribution
BPoisson distribution
CNormal distribution
DChi-square distribution
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Correct Answer

✅ Option c — Normal distribution

All Options:

  • ABinomial distribution
  • BPoisson distribution
  • CNormal distribution
  • DChi-square distribution

Detailed Solution & Explanation

**Distribution of Workers' Wages**\n\nIn statistics, different types of distributions are used to model different types of real-world variables:\n\n1. **Binomial Distribution:** A discrete probability distribution that models the number of successes in a fixed number of independent Bernoulli trials (e.g., number of heads in coin tosses).\n2. **Poisson Distribution:** A discrete probability distribution that models the number of events occurring within a fixed interval of time or space (e.g., number of phone calls received per hour).\n3. **Normal Distribution:** A continuous probability distribution that is symmetric and bell-shaped. It is widely used to model natural and socio-economic variables that result from the summation of many independent random factors. Classic examples include:\n - Heights and weights of individuals\n - IQ scores\n - Errors of measurement\n - **Wages/salaries of workers in a large factory or industry**\n4. **Chi-square Distribution:** A continuous distribution mostly used in inferential statistics for hypothesis testing (like goodness of fit).\n\nSince wages of workers are continuous, cluster around a mean wage, and are symmetric about the mean (with most workers earning near the average and fewer earning very high or very low wages), they are best modeled by a **Normal Distribution**.\n\nHence, **Option C** 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.

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

If mean and standard deviation of a binomial distribution is 10\displaystyle 10 and 2\displaystyle 2 respectively, q\displaystyle q will be

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\displaystyle 0.5, the Binomial Distribution is:

For a Poisson distribution,

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