JPSC 4th Combined Civil Services PT 2011 Statistics Question Paper PDF

Jharkhand Government Jobs Administrative / Civil Services

  • Conducted By JPSC
  • Maximum Marks 200
  • Duration 2 Hours
  • Languages English & Hindi

Exam Details

Detail Information
Examination 4th Combined Civil Services (PT) Exam
Conducting Body JPSC
Paper Statistics (14)
Subject Statistics
Duration 2 Hours
Maximum Marks 200
Question Type Objective (MCQ)

This is the Statistics (Paper 14) question paper for the 4th Combined Civil Services (PT) Examination conducted by JPSC. The exam allows 2 hours to complete and has a maximum of 200 marks. This objective-type paper is crucial for aspirants preparing for the civil services examinations, offering insights into the types of questions asked and the difficulty level. Practicing with previous years' papers like this one is a key strategy for success in competitive exams.

Major Topics Covered

  • Statistics
  • Probability
  • Distributions (Gamma, Multinomial)
  • Covariance
  • Defective Items
  • Communication Systems
  • Component Reliability

Why This Paper is Important

  • Useful for 4th COMBINED CIVIL SERVICES (PT) 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

  • JPSC 4th Combined Civil Services (PT) Exam - General Studies Paper
  • JPSC 4th Combined Civil Services (PT) Exam - Previous Year Papers
  • JPSC 4th Combined Civil Services (PT) Exam 2011 Statistics Answer Key
  • JPSC Combined Civil Services Exam Syllabus
  • Statistics Syllabus for Competitive Exams
  • JPSC Combined Civil Services Exam Pattern
  • PT Exam Pattern Details
  • JPSC Combined Civil Services Exam

Instructions

  • जब तक कहा न जाए तब तक इस प्रश्न-पुस्तिका Booklet until you are told to do so. को न खोलें।
  • परीक्षा शुरू करने से पहले परीक्षार्थी को information in the space provided ओ० एम० आर० - उत्तर-पत्रिका - में - आवश्यक on the OMR Answer Sheet before जानकारी निर्धारित स्थान पर अवश्य भर लेनी commencement of the test. SEAL चाहिए।
  • सही उत्तर चिह्नित करने के लिए निर्धारित एक गोले darken one circle by black or blue ball- point pen only. Please do not mark on को काले या नीले बॉलपेन द्वारा चिहित करें।
  • एक more than one circle. Darkening on से अधिक गोलों को काला चिह्नित न करें।
  • एक से more than one circle against an answer अधिक गोले को उत्तर के रूप में चिह्नित करने पर will be treated as wrong answer. उस उत्तर को गलत माना जाएगा।
  • Do not detach any leaf from this इस प्रश्न-पुस्तिका में से किसी भी पन्ने को अलग न Question Booklet. After the examina-
  • tion, hand over separately the entire करें।
  • परीक्षा समाप्ति के उपरान्त पूरी प्रश्न-पुस्तिका Question Booklet and Answer Sheet to तथा उत्तर-पत्रिका को अलग-अलग कक्ष-निरीक्षक the Room Invigilator. को सौंप दें।
  • प्रत्येक प्रश्न 2 अंकों का है। गलत उत्तर के लिए is no negative marking for any wrong कोई अंक नहीं काटा जाएगा। answer.
  • परीक्षा भवन में संगणक, मोबाइल फोन एवं पेजर
  • Possession and use of Calculator, को अपने पास रखना और उसका प्रयोग करना Mobile Phone and Pager is prohibited in the Examination Hall. चर्जित है।
  • किसी भी प्रश्न के हिन्दी अनुवाद में किसी भी
  • For any discrepancy in the translated version of any question in Hindi, the प्रकार की विसंगति पाए जाने पर, अंग्रेजी भाषा में English version of the question will be दिया गया प्रश्न मान्य होगा। valid. आपको परीक्षा के समय की समाप्ति पर प्रश्न-
  • You should return the Question पुस्तिका को निरीक्षक महोदय को लौटाना होगा Booklet to the Invigilator at the end of the examination and should not और परीक्षा भवन से बाहर जाते समय कोई भी carry any paper with you outside the कागज अपने साथ नहीं ले जाना होगा। Examination Hall.

Questions (page 2)

Q1. Let X follow G(n, a). What are the mean and variance of the gamma distribution respectively?

  • (a) n/a, n/a2
  • (b) n/a, na(1-a)
  • (c) a, a2
  • (d) 1/a, 1/a2

Q2. What is the moment μ'_1 about origin in case of β(l, m) distribution of first kind?

  • (a) (1)/(l + m)
  • (b) (m)/(l + m)
  • (c) (l + 1)/(l + m)
  • (d) (m + 1)/(l + m)

Q3. Let (X1, X2, X3, X4, X5) be a multinomial variate with pi = 1/5 for every i=1, 2, 3, 4, 5. What is the covariance of X2 and X3?

  • (a) 1/5
  • (b) -1/5
  • (c) 4/5
  • (d) 1/54

Q4. An item is produced in large numbers. A machine is known to produce 5% defectives. A quality control inspector is examining the items by taking them at random. What is the probability that at least 4 items are to be examined in order to get 2 defective items?

  • (a) 0.99
  • (b) 0.95
  • (c) 0.92
  • (d) 0.90

Q5. A communication system consists of n components, each of which will independently function with probability p. The total system will be able to operate effectively if at least one-half of its components function. What are the values of p for which a 5-component system is more likely to operate effectively than a 3-component system?

  • (a) p ≥ 1/3
  • (b) p ≥ 1/2
  • (c) p ≤ 1/2
  • (d) p ≤ 1/3

Q6. A certain item is manufactured by three factories, say I, II and III. It is known that during a specified production period, factory I produces twice as many as factory II and factories II and III produce the same number of items. It is also known that 2% of the items produced by I and II are defective, while 4% of those manufactured by III are defective. All the items produced are put into one stockpile, and then one item is chosen at random. What is the probability that this item is defective?

  • (a) 0.015
  • (b) 0.025
  • (c) 0.030
  • (d) 0.050

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Frequently asked questions

What is the name of the exam?

The exam is the 4th Combined Civil Services (PT) Exam.

Which conducting body organized this exam?

The exam was conducted by JPSC.

What is the subject of this question paper?

The subject is Statistics (Paper 14).

What is the maximum marks for this paper?

The maximum marks for this paper are 200.

What is the time allowed for the exam?

The time allowed for the exam is 2 Hours.

What type of questions are included in this paper?

This paper consists of objective-type questions.

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