UPSC IES ISS 2025 Statistics Paper I Question Paper PDF
- Year 2025
- Conducted By UPSC
- Maximum Marks 200
- Duration 2 Hours
- Languages English
Exam Details
| Detail | Information |
|---|---|
| Examination | Indian Economic Service - Indian Statistical Service Examination |
| Year | 2025 |
| Conducting Body | UPSC |
| Paper | Statistics Paper - I |
| Subject | Statistics |
| Duration | 2 Hours |
| Maximum Marks | 200 |
| Question Type | Objective (MCQ) |
This document contains the Statistics Paper - I for the 2025 Indian Economic Service - Indian Statistical Service Examination conducted by UPSC. The paper is objective in nature, with a total of 200 marks and a time duration of 2 hours. It is crucial for aspirants to practice with previous year papers like this one to understand the exam pattern, difficulty level, and important topics. This paper is a valuable resource for candidates aiming to qualify for the IES/ISS examination.
Major Topics Covered
- Statistics
- Probability
- Distributions
- Hypothesis Testing
- Regression Analysis
- Time Series Analysis
- Sampling
Why This Paper is Important
- Useful for Indian Economic Service - Indian Statist preparation
- Helps understand the latest exam pattern
- Useful for practice and self-assessment
- Covers frequently asked General Studies topics
- Helpful for analysing question trends
Related Resources
- IES ISS 2024 Statistics Paper I
- IES ISS 2023 Statistics Paper I
- IES ISS 2025 General Statistics Paper II
- UPSC Statistics Optional Paper
- IES ISS 2025 Statistics Paper I Answer Key
- UPSC Statistics Paper I Solutions 2025
- IES ISS Statistics Syllabus
- UPSC Statistics Optional Syllabus
Instructions
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Questions (page 2)
Q2.
For Beta distribution of first kind Beta (α, β), consider the following statements :
I. For α > 1, β > 1; density has unique mode.
II. For α + β = 2 such that α = β = 1, all points in [0, 2] are modes.
Which of the statements given above is/are correct ?
Q3.
Let X be a continuous random variable with the following pdf :
f(x) = \begincases 1/8 & ; 2 ≤ x ≤ 10 \\ 0 & ; otherwise \endcases
What is the distribution of Y = aX + b, provided a > 0 ?
Q4. A player rolls a fair dice and simultaneously tosses a fair coin. If the "head" appears on the coin, then the player wins twice the value that appears on the dice. However if the "tail" appears on the coin, then the player wins half of the value that appears on the dice. What is the player's expected win ?
Q5. A miner is trapped in a mine containing 3 doors. The first door leads to a tunnel that will take him to safety after 3 hours of travel. The second door leads to a tunnel that will return him to the mine after 5 hours of travel. The third door leads to a tunnel that will return him to the mine after 7 hours of travel. Assuming that the miner is equally likely to choose any of the doors, what is the expected length of time until he reaches safety ?
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Frequently asked questions
What is the exam name for this question paper?
The exam name is the Indian Economic Service - Indian Statistical Service Examination.
What is the year of this examination paper?
The year of this examination paper is 2025.
Who conducts the Indian Economic Service - Indian Statistical Service Examination?
The examination is conducted by UPSC (Union Public Service Commission).
What is the name of the paper?
The name of the paper is Statistics Paper - I.
What is the subject of this paper?
The subject of this paper is Statistics.
What is the time allowed for this paper?
The time allowed for this paper is 2 Hours.