Statistics Paper I

Central Government Jobs Other Jobs 2023

  • Year 2023
  • Conducted By UPSC
  • Questions 80
  • Maximum Marks 200
  • Duration Two Hours
  • Languages English

Exam Details

Detail Information
Examination IES/ISS Exam
Year 2023
Conducting Body UPSC
Paper Statistics Paper I
Subject Statistics
Duration Two Hours
Maximum Marks 200
Number of Questions 80
Question Type Objective (MCQ)

This page hosts the IES/ISS Exam (2023) question paper conducted by UPSC. Subject: Statistics. Maximum marks: 200. Duration: Two Hours. Question type: Objective. Read exam instructions and page-2 questions online, or download the official PDF for offline practice.

Major Topics Covered

  • IES/ISS Exam
  • Statistics
  • Statistics Paper I
  • UPSC
  • 2023 question paper
  • previous year paper
  • PDF download

Why This Paper is Important

  • Useful for IES/ISS Exam 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

Instructions

  • THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS.
  • IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET.
  • Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test Booklet Series Code A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet.
  • Any omission/discrepancy will render the Answer Sheet liable for rejection.
  • You have to enter your Roll Number on the
  • Test Booklet in the Box provided alongside.
  • DO NOT write anything else on the Test Booklet.
  • This Test Booklet contains 80 items (questions).
  • Each item comprises four responses (answers).
  • will select the response which you want to mark on the Answer Sheet.
  • In case you feel that there is more than one correct response, mark the response which you consider the best.
  • In any case, choose ONLY ONE response for each item.
  • You have to mark all your responses ONLY on the separate Answer Sheet provided.
  • in the Answer Sheet. All items carry equal marks.
  • Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet,
  • you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate.
  • After you have completed filling in all your responses on the Answer Sheet and the examination has
  • concluded, you should hand over to the Invigilator only the Answer Sheet.
  • You are permitted to take away with you the Test Booklet.
  • Sheets for rough work are appended in the Test Booklet at the end.
  • Penalty for wrong answers: THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS.
  • There are four alternatives for the answer to every question.
  • For each question for which a wrong answer (i) has been given by the candidate, one-third of the marks assigned to that question will be deducted as penalty.
  • If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given (ii) answers happens to be correct and there will be same penalty as above to that question.
  • (iii) If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that question.
  • DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO SO (1 - A)

Questions (page 2)

Q1. The members of a firm rent cars from three rental agencies: 60% from Agency-1, 30% from Agency-2 and 10% from Agency-3. If 9% of cars from Agency-1 need an oil change, 20% of cars from Agency-2 need an oil change and 6% of cars from Agency-3 need an oil change, then what is the probability that a rental car delivered to the firm will need an oil change?

Q2. If X sim N(0, 1) and Y|X = X cdot U(X-1, X+1), then what is the value of E(E2(Y|X))?

  • (a) 1
  • (b) 2
  • (c) 3
  • (d) 4

Q3. If X sim exp(θ), then consider the following statements :

  • (a) 1 only
  • (b) 3 only
  • (c) 1 and 2
  • (d) 1 and 3

Q4. A random variable X has probability mass function given by

  • (a) 2, 4
  • (b) 4, 4.
  • (c) 4, 2.
  • (d) 4, 2

Q5. If X sim log-normal (μ, σ^2) and Y = (X-μ)/(σ) ; σ > 0, -∞ < μ < ∞, then what is the value of Var (Y)/(σ) - μ )2 )?

  • (a) 105 μ^4 σ^4
  • (b) 15 μ^4 σ^4
  • (c) 3 μ^4 σ^4
  • (d) 2 μ^4 σ^4

Q6. The pdf of a random variable X is given by

  • (a) Only one
  • (b) Only two
  • (c) Only three
  • (d) All four

Question paper preview

Scanned pages 1–2 for reference. Download the official PDF for the full paper.

Page 1
IES/ISS Exam 2023 Statistics Paper I UPSC question paper page 1 instructions scan PDF download
Page 2
IES/ISS Exam 2023 Statistics Paper I UPSC question paper page 1 instructions scan PDF download

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Frequently asked questions

Where can I download the IES/ISS Exam question paper PDF?

Use the Download PDF button on this page to save the official IES/ISS Exam (2023) Statistics Paper I paper hosted on QuizCurrent.

Who conducts the IES/ISS Exam?

The IES/ISS Exam is conducted by UPSC. This portal reproduces the scanned question paper for practice and revision.

Does this page include exam instructions and questions?

Yes. Page 1 instructions and page 2 questions are extracted from the official PDF OCR so you can read them without downloading.

How many questions are on this paper?

The paper lists 80 questions as per the official booklet.

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