How many questions are candidates required to answer?

Candidates are required to answer any ten questions.

What is the paper code mentioned on the paper?

The paper code is 04/SBS/M-2020-17A/33.

Is the year of the examination mentioned?

The year is not explicitly stated in the provided OCR text, but the paper code suggests it might be from 2020.

Where can I find the official instructions for the exam?

Official instructions are provided on the first page of the question paper, covering aspects like answering in own words and handling parts of the same question.

BPSC ACF Statistics Paper-I 2020 Question Paper PDF

Name: BPSC ACF Statistics Paper-I 2020 Question Paper PDF
Creator: BPSC
Keywords: BPSC ACF Statistics Paper-I, Assistant Conservator of Forests Statistics Exam, BPSC ACF Question Paper, Statistics Paper-I PDF, BPSC Exam 2020, ACF Statistics, Bihar PSC ACF, Government Job Exam, Previous Year Paper Statistics, Descriptive Statistics Exam

Bihar Government Jobs Other Jobs

Conducted By BPSC
Maximum Marks 75
Languages Hindi & English

Exam Details

Detail	Information
Examination	Assistant Conservator of Forests Competitive Examination
Conducting Body	BPSC
Paper	Statistics Paper-I
Subject	Statistics
Maximum Marks	75
Question Type	Descriptive / Subjective

This document contains the Statistics Paper-I question paper for the BPSC Assistant Conservator of Forests (ACF) Competitive Examination, likely from the year 2020, as indicated by the paper code. The paper has a maximum of 75 marks and consists of descriptive questions. Candidates are instructed to answer any ten questions in their own words, with both Hindi and English versions provided for clarity. The paper is crucial for aspirants preparing for the BPSC ACF recruitment, offering insights into the exam pattern and difficulty level for the Statistics subject.

Major Topics Covered

Random Variables
Distribution Functions
Continuous Functions
Mean-Square Convergence
Convergence in Probability
Moments
Independent and Identically Distributed Random Variables
Summation
Law of Large Numbers

Why This Paper is Important

Useful for Assistant Conservator of Forests Competi 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

BPSC ACF Statistics Paper-II
BPSC ACF General Studies Paper
BPSC ACF Previous Year Papers
BPSC ACF Statistics Paper-I Answer Key 2020
BPSC ACF Statistics Syllabus
Assistant Conservator of Forests Exam Syllabus
BPSC ACF Exam Pattern
Assistant Conservator of Forests Exam Pattern

Instructions

۰ Answer any ten questions. Candidates are required to give their answers in their own words as far as practicable. • All questions have been printed both in Hindi and English. In case of any ambiguity in Hindi version, the English version shall be considered authentic. • Parts of the same question must be answered together and must not be interposed between answers to other questions. अनुदेश : • उपान्त के अंक पूर्णांक के द्योतक हैं। • किन्हीं दस प्रश्नों के उत्तर दें।
परीक्षार्थी यथासम्भव अपने शब्दों में ही उत्तर दें। • सभी प्रश्न हिन्दी और अंग्रेजी दोनों भाषा में छपे हैं।
यदि हिन्दी भाषा में कोई संदेह है, तो अंग्रेजी भाषा को ही प्रामाणिक माना जाएगा। • एक ही प्रश्न के विभिन्न भागों के उत्तर अनिवार्य रूप से एक साथ ही लिखे जाएँ तथा उनके बीच में अन्य प्रश्नों के उत्तर न लिखे जाएँ।

Questions (page 2)

Section A

Q1. If \X_n\ be a sequence of random variables with F_n as the sequence of distribution functions and if there exists a random variable X with distribution function F, then prove that F is continuous for any value of X. 71/2 यदि Fn के बंटन फलन क्रम के साथ Xn यादृच्छिक चरों का एक क्रम है और यदि बंटन फलन \boldsymbolF के साथ एक यादृच्छिक चर X भी हो, तो सिद्ध कीजिए कि X के किसी भी मान के लिए F एक सतत फलन है। Define mean-square convergence. Let X_n be 2. a sequence of random variables and X be another random variable. Prove that [X_n \xrightarrowL_r X] \Rightarrow [X_n \xrightarrowL_s X] \Rightarrow [X_n \xrightarrowP X] \Rightarrow [X_n \xrightarrowL_r X] if rth- and sth-order moments of X exist (r ≥ s). 71/2 माध्य-वर्ग अभिसरण को परिभाषित कीजिए। यदि X_n यादृच्छिक चरों का एक क्रम है और X एक अन्य यादृच्छिक चर है, तो सिद्ध कीजिए कि [X_n \xrightarrowL_r X] \Rightarrow [X_n \xrightarrowL_s X] \Rightarrow [X_n \xrightarrowP X] \Rightarrow [X_n \xrightarrowL_n X] यदि X के rवाँ व sवाँ आघूर्ण (r ≥ s) स्थापित हो। 3. If X₁, X₂, \ldots, are independently and identically distributed random variables with common mean μ and finite fourth-order moment, then for S_n = ∑_i=1ⁿ X_i, prove that Plim_n→∞(S_n)/(n) = μ] = 1 71/2 04/SBS/M-2020-17A/33 2

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Frequently asked questions

What is the name of the exam?

The exam is the Assistant Conservator of Forests Competitive Examination.

Which conducting body organizes this exam?

The exam is conducted by BPSC (Bihar Public Service Commission).

What is the subject of this question paper?

The subject is Statistics, specifically Paper-I.

What is the maximum marks for this paper?

The maximum marks for this paper are 75.

What type of questions are included in this paper?

This paper includes descriptive questions.

Are the questions available in multiple languages?

Yes, all questions are printed in both Hindi and English. The English version is considered authentic in case of ambiguity.

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