Jharkhand Government Jobs Statistics Paper-I (200 marks, 3 hours)

Jharkhand Government Jobs Administrative / Civil Services

  • Conducted By Government of Jharkhand
  • Questions 8
  • Maximum Marks 200
  • Duration 3 Hours
  • Languages Hindi & English

Exam Details

Detail Information
Examination Statistics Paper-I
Conducting Body Government of Jharkhand
Paper Statistics Paper-I
Subject Statistics
Duration 3 Hours
Maximum Marks 200
Number of Questions 8
Question Type Mixed

This entry consolidates the Statistics Paper-I for the Jharkhand Government Jobs exam (4317). It presents exam format, time, and marks from Page 1 OCR and the corrected question body and related topics from Page 2 OCR. Section A requires four compulsory short questions; Section B requires four out of seven descriptive questions. The page 2 problem concerns a probability space with six outcomes, a piecewise random variable X, and asks to prove measurability, derive pmf and distribution, compute E and Var, and check independence of X=1 and X=2. The bilingual mix in the stem is preserved.

Major Topics Covered

  • Probability space
  • Random variable
  • Measurable function
  • Probability mass function (PMF)
  • Distribution function (CDF)
  • Expectation (E[X])
  • Variance (Var(X))
  • Independence of events
  • Section A and Section B exam format
  • Descriptive questions
  • Two-section paper
  • Reserved answer pages
  • Piecewise-defined variable
  • Finite Ω
  • Discrete uniform distribution
  • Bilingual exam statements
  • Measurable mapping
  • Discrete probability
  • Stochastic processes basics
  • Jharkhand government exams

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

  • परीक्षार्थी को खण्ड - अ से चार अनिवार्य और खण्ड - ब से चार विषयनिष्ठ वैकल्पिक प्रश्नों का उत्तर देना है।
  • खण्ड – अक्ते अनिवार्य प्रश्न में 4 विषयनिष्ठ प्रश्न हैं जिसमें प्रत्येक विषयनिष्ठ प्रश्न के 10 अंक हैं।
  • इसके अतिरिक्त खण्ड – ब के 7 विषयनिष्ठ वैकल्पिक प्रश्नों में से किन्हीं 4 विषयनिष्ठ प्रश्न का उत्तर दें जिनमें प्रत्येक प्रश्न के 40 अंक हैं।
  • वैकल्पिक प्रश्नों का उत्तर वर्णनात्मक रूप से लिखें।
  • उत्तर पुस्तिका में प्रत्येक खण्ड व प्रश्न के लिये पेज निर्धारित हैं।
  • दिया जाता हैं कि प्रश्नों के उत्तर निर्धारित पेज पर ही लिखना सुनिष्चित करेंगे।
  • यदि अभ्यर्थी प्रश्नों के उत्तर निर्धारित पेज पर नहीं लिखते हैं तो उक्त परिस्थिति में उस प्रश्न के उत्तर की जाँच नहीं की जायगी एवं इसकी समस्त जिम्मेवारी स्वयं अभ्यर्थी की होगी । INSTRUCTION: The question paper is divided into two sections. The candidates will be required to

Questions (page 2)

Q1. 1. Parti de la Propinsia Parti de la P खण्ड - अ / Section - A मान लीजिए (\\Omega, F, P) एक प्रायिकता स्थान है जहाँ \\Omega = \\1, 2, 3, 4, 5, 6\\, F = 2n और P(i) = \1/6, i = 1, ..., 6. 1. i = 1, ..., 6 एक यादृच्छिक चर X : Ω → R निम्न प्रकार परिभाषित है। [10] X(w) = \begincases w & w ≤ 3 \\ w-3 & w > 3 \endcases निम्नलिखित का उत्तर दीजिए। सिद्ध कीजिए कि X एक मापन योग्य फलन (measurable function) है। i) X का प्रायिकता द्रव्यमान फलन (pmf) ज्ञात कीजिए। ii) वितरण फलन $Fx
(X) ज्ञात कीजिए। ii) E
(X) तथा Var
(X) ज्ञात कीजिए। iv) क्या घटनाएँ X = 1 और X = 2 स्वतंत्र है। स्पष्ट कीजिए। V) Let (\\Omega, F, P) be a probability space where \\Omega = \\1, 2, 3, 4, 5, 6\\, F = 2n and P(\\i\\) = \1/6, i = 1, ..., 6 Define a random variable X : \\Omega \→ \\mathbbR by X(w) = \begincases w & w ≤ 3 \\ w-3 & w > 3 \endcases Answer the following. Show that X is a measurable function. i) Find the probability mass function (pmf) of X. \\rm ii) Obtain the distribution function Fx
(X) . \\overline111$ Compute E
(X) and Var
(X) . iv) Determine whether the events X = 1 and X = 2 are independent, justify. v) GAN4-ST [2] 1ST00005

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Jharkhand Government Jobs Statistics Paper-I (200 marks, 3 hours) — page 1 instructions scan PDF download
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Jharkhand Government Jobs Statistics Paper-I (200 marks, 3 hours) — page 1 instructions scan PDF download

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Frequently asked questions

What is the total duration of the exam?

3 hours

What is the maximum marks for the exam?

200 marks

How many sections are in the question paper?

Two sections: Section A and Section B

How many compulsory questions are in Section A?

Four compulsory questions

How many optional questions must be answered from Section B?

Four optional questions

What is the marking for each Section A question?

10 marks each

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