Statistics Paper I - Central Government 2021

Central Government Jobs Other Jobs 2021

  • Year 2021
  • Questions 80
  • Maximum Marks 200
  • Duration Two Hours
  • Languages English

Exam Details

Detail Information
Examination Statistics Paper I
Year 2021
Paper Statistics Paper I
Subject Statistics
Duration Two Hours
Maximum Marks 200
Number of Questions 80
Question Type Objective (MCQ)

This dataset presents OCR-repaired content for Statistics Paper I (2021) with page 1 containing exam header, instructions, and overall details (80 objective questions, two-hour duration, 200 marks, penalties for wrong responses) and page 2 offering repaired objective questions. The repaired page includes seven MCQ items covering topics such as joint probability density functions, regression lines, and sampling concepts. The SEO-focused summary combines page-1 facts with page-2 questions to enable metadata generation, topic tagging, and structured data for better search visibility. The page-2 content is reorganized as per repair rules: left and right columns are read top-to-bottom, questions are separated, options are clearly delimited, and line breaks are preserved to maintain each question as a separate item.

Major Topics Covered

  • Statistics
  • Probability
  • Joint Distribution
  • Joint pdf
  • Density Function
  • Regression
  • Line of Regression
  • Random Variables
  • X and Y
  • Two-variable Distribution
  • Density Constraints
  • Integrals
  • Expectation
  • Distribution Domains
  • Ranged Variables
  • Support of Distribution
  • Piecewise Functions
  • Independence
  • Mutual Dependence
  • Basic Inference

Why This Paper is Important

  • Useful for Statistics Paper I 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.
  • 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.

Questions (page 2)

Q1. Consider the following for the next three
(03) items that follow:
Let the joint p.d.f. of X and Y be f(x, y) = { 6 (1 - x - y), x > 0, y > 0, x + y < 1; 0, otherwise. }
What is the value of ?

  • (a) 10
  • (b) 20
  • (c) 1/10
  • (d) 1/20

Q2. 2. What is the value of ?

  • (a) 1/40
  • (b) 3

Q3. 3. What is the equation of line of regression of X and Y?

  • (a) (b)
  • (b) (c)
  • (c) (d)

Q4. Consider the following for the next two
(02) items that follow:
Let the joint density function of X and Y be f(x, y) = { 8xy, 0 < x < y < 1; 0, otherwise. }

  • (1) What is equal to? (a) (b) (c) (d)

Q5. 5. What is the value of ?

  • (a) 0.5
  • (b) 0.525
  • (c) 0.6
  • (d) 0.625

Q6. 6. How large a sample must be taken in order that the probability will be at least 0.95 and mean will be within the 0.5-neighborhood of the population mean, provided population standard deviation is 1?

  • (a) 80
  • (b) 79
  • (c) 74
  • (d) Cannot be determined

Q7. 7. Let A1, A2, A3, ... be a sequence of events and let E = lim sup. If ∑_{n=1}^{∞} P(An) < ∞, then is equal to

  • (a) 1
  • (b) 1/2
  • (c) 0

Question paper preview

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

Page 1
Statistics Paper I - Central Government 2021 — page 1 instructions scan PDF download
Page 2
Statistics Paper I - Central Government 2021 — page 1 instructions scan PDF download

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Frequently asked questions

What is the name of the paper?

Statistics Paper I

What is the maximum marks?

200

How many items does the booklet contain?

80

What is the duration of the exam?

Two hours

What type of questions are in this paper?

Objective type (MCQ)

What happens for wrong answers?

One-third of the marks assigned to that question are deducted

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