UPSC Statistics Paper I 2017 - Central Govt Question Paper

Central Government Jobs Other Jobs 2017

  • Year 2017
  • Conducted By Union Public Service Commission
  • Questions 8
  • Maximum Marks 250
  • Duration Three Hours Maximum Marks: 250
  • Languages Hindi & English

Exam Details

Detail Information
Examination Statistics Paper I
Year 2017
Conducting Body Union Public Service Commission
Paper Statistics (PAPER-I)
Subject Statistics
Duration Three Hours Maximum Marks: 250
Maximum Marks 250
Number of Questions 8
Question Type Descriptive and conceptual

This JSON combines Page 1 and Page 2 OCR repair for Statistics Paper I (UPSC Civil Services Main Examination, 2017). Page 1 provides the exam header, time, maximum marks, bilingual instructions, and the paper code. Page 2 presents Section A with repaired questions on probability, random variables, CDF/PDF transformations, and LLN concepts, including translations between Hindi and English where present. The SEO fields include metadata such as titles, descriptions, topics, keywords, and image SEO data to facilitate indexing. The page URL is provided and the overall structure reflects a bilingual, two-section paper with descriptive/analytical questions.

Major Topics Covered

  • Probability
  • Random Variables
  • Cumulative Distribution Function
  • Probability Density Function
  • Transformation of Random Variables
  • Y = X^2
  • Strong Law of Large Numbers
  • Weak Law of Large Numbers
  • Independent Tests
  • Medical Testing
  • Bayes Probability
  • Two-Column MCQ
  • Descriptive Questions
  • Bilingual Exam
  • Admit Card
  • Question-cum-Answer Booklet
  • Symbols and Notations
  • Data Assumptions
  • Section A
  • Paper Code

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

  • इसमें आठ प्रश्न हैं जो दो खण्डों में विभाजित हैं तथा हिन्दी और अंग्रेजी दोनों में छपे हैं।
  • परीक्षार्थी को कुल पाँच प्रश्नों के उत्तर देने हैं।
  • प्रश्न संख्या 1 और 5 अनिवार्य हैं तथा बाकी प्रश्नों में से प्रत्येक खण्ड से कम-से-कम एक प्रश्न चुनकर तीन प्रश्नों के उत्तर दीजिए।
  • प्रत्येक प्रश्न/भाग के अंक उसके सामने दिए गए हैं।
  • प्रश्नों के उत्तर उसी प्राधिकृत माध्यम में लिखे जाने चाहिए जिसका उल्लेख आपके प्रवेश-पत्र में किया गया है और इस माध्यम का स्पष्ट उल्लेख प्रश्न-सह-उत्तर (क्यू॰ सी॰ ए॰) पुस्तिका के मुखपृष्ठ पर अंकित निर्दिष्ट स्थान पर किया जाना चाहिए।
  • उल्लिखित माध्यम के अतिरिक्त अन्य किसी माध्यम में लिखे गए उत्तर पर कोई अंक नहीं मिलेंगे।
  • यदि आवश्यक हो, तो उपयुक्त आँकड़ों का चयन कीजिए तथा उनको निर्दिष्ट कीजिए।
  • जब तक उल्लिखित न हो, संकेत तथा शब्दावली प्रचलित मानक अर्थों में प्रयुक्त हैं।
  • प्रश्नों के उत्तरों की गणना क्रमानुसार की जाएगी।
  • यदि काटा नहीं हो, तो प्रश्न के उत्तर की गणना की जाएगी चाहे वह उत्तर अंशतः दिया गया हो।
  • प्रश्न-सह-उत्तर पुस्तिका में खाली छोड़ा हुआ पृष्ठ या उसके अंश को स्पष्ट रूप से काटा जाना चाहिए।

  • There are EIGHT questions divided in two Sections and printed both in HINDI and in ENGLISH.
  • Candidate has to attempt FIVE questions in all.
  • Question Nos. 1 and 5 are compulsory and out of the remaining, THREE are to be attempted choosing at least ONE question from each Section.
  • The number of marks carried by each question/part is indicated against it.
  • Answers must be written in the medium authorized in the Admission Certificate which must be stated clearly on the cover of this Question-cum-Answer (QCA) Booklet in the space provided.
  • No marks will be given for answers written in a medium other than the authorized one.
  • Assume suitable data, if considered necessary, and indicate the same clearly.
  • Unless and otherwise indicated, symbols and notations carry their usual standard meanings.
  • Attempts of questions shall be counted in sequential order.
  • Unless struck off, attempt of a question shall be counted even if attempted partly.
  • Any page or portion of the page left blank in the Question-cum-Answer Booklet must be clearly struck off.

Questions (page 2)

Q1. 1. (a) स्वतन्त्र परीक्षण दिए जाते हैं। प्रत्येक परीक्षण से 90% बार सही निदान प्राप्त होता है। प्रायिकता ज्ञात कीजिए कि वह व्यक्ति वास्तव में रोगग्रस्त है, जब दिया गया हो कि—
(i) केवल एक परीक्षण निश्चयात्मक है।
(ii) Ten percent of a certain population suffer from a serious disease. Two independent tests are given to a person suspected of the disease. Each test gives a correct diagnosis 90% of the time. Find the probability that the person really suffers from the disease, given that- both tests are positive;
(i) only one test is positive.

Q2. 2. Let X be a continuous random variable with the probability density function f
(x) = { 2/x^2, if 1 < x < 2; 0, elsewhere }. Y = X2. Find the cumulative distribution function and the probability density function of Y.

Q3. 3. 10 मान लीजिए कि {Xn} स्वतंत्र और सर्वसम रूप से बंटित यादृच्छिक चरों का एक ऐसा अनुक्रम है, जिसका P[X = -n] = P[X = n] = 3/(π^2 n2), n = 1, 2, ... है। जाँच कीजिए कि क्या {Xn}
(i) बृहत् संख्याओं के सबल नियम और
(ii) बृहत् संख्याओं के दुर्बल नियम का पालन करता है। Let {Xn} be a sequence of independent and identically distributed random variables with common probability function P[X = -n] = P[X = n] = 3/(π^2 n2), n = 1, 2, ... Check whether {Xn} obeys
(i) the strong law of large numbers and
(ii) the weak law of large numbers.

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Frequently asked questions

What is the name and year of the paper?

Statistics Paper I, UPSC Civil Services Main Examination, 2017.

How many questions are there in this paper and how are they divided?

There are eight questions divided into two sections; the paper is bilingual (Hindi and English).

How many questions must a candidate attempt?

Candidates have to attempt five questions in total.

Which questions are compulsory?

Questions 1 and 5 are compulsory.

From each section, is it mandatory to attempt at least one question?

Yes. At least one question must be attempted from each section.

In which medium should answers be written?

Answers must be written in the medium authorized in the Admission Certificate, clearly stated on the QCA booklet cover.

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