Theoretical DistributionsMCQPYQ Nov. 20Question 3485 of 230
All Questions

Which one of the following has Poisson distribution?

Options

AThe number of days to get a complete cure.
BThe number of defects per meter on long roll of coated polythene sheet.
CThe errors obtained in repeated measuring of the length of a rod.
DThe number of claims rejected by an insurance agency.
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Correct Answer

✅ Option b — The number of defects per meter on long roll of coated polythene sheet.

All Options:

  • AThe number of days to get a complete cure.
  • BThe number of defects per meter on long roll of coated polythene sheet.
  • CThe errors obtained in repeated measuring of the length of a rod.
  • DThe number of claims rejected by an insurance agency.

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Detailed Solution & Explanation

**Poisson distribution** models the number of rare events occurring in a fixed interval of time, space, or length, when events occur independently and at a constant average rate.\n\n**Checking each option:**\n\n- **(A) Number of days to get a complete cure:** This is a continuous time variable — follows Exponential or other distributions, not Poisson.\n\n- **(B) Number of defects per meter on a long roll:** Defects are **rare events** occurring over a **continuous length** (space). Events occur independently at a constant average rate per meter. This is a classic Poisson scenario.\n\n- **(C) Errors in repeated measurement of length:** Measurement errors are continuous and symmetric — follows **Normal distribution**.\n\n- **(D) Number of claims rejected by an insurance agency:** This is a proportion/count with a fixed total — more suited to Binomial or empirical distributions.\n\nThe **number of defects per meter on a long roll** perfectly satisfies Poisson conditions: rare, random, independent events over a continuous medium.\n\nHence, **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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