Q1. Suppose X1, X2, X3 and X4 are independent where X1, X2, X3 has a Bernoulli 1/3) distribution and X4 follows B3, 2/3). Then the distribution of X1 + X2 + X3 + 3 - X4 is :
- (a) B(5, 1/3)
- (b) B(6, 1/3)
- (c) B(6, 2/3)
- (d) not a Binomial
IES ISS 2022 Statistics Paper I Question Paper PDF
- Year 2022
- Conducted By UPSC
- Questions 80
- Maximum Marks 200
- Duration Two Hours
Exam Details
| Detail | Information |
|---|---|
| Examination | IES/ISS Exam |
| Year | 2022 |
| Conducting Body | UPSC |
| Paper | Statistics Paper I |
| Subject | Statistics |
| Duration | Two Hours |
| Maximum Marks | 200 |
| Number of Questions | 80 |
| Question Type | Objective (MCQ) |
This is the official question paper for the IES/ISS Exam 2022, specifically for Statistics Paper I, conducted by UPSC. The paper consists of 80 objective-type questions and is allocated a maximum of 200 marks, with a time duration of two hours. Aspirants preparing for the IES/ISS examination can use this paper to understand the exam pattern, difficulty level, and types of questions asked in Statistics Paper I. Practicing with previous year papers like this is crucial for effective preparation and scoring well in the competitive examination.
Major Topics Covered
- Statistics
- Probability
- Random Variables
- Binomial Distribution
- Bernoulli Distribution
- Covariance
Why This Paper is Important
- Useful for IES/ISS 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
- IES ISS 2023 Statistics Paper I
- IES ISS 2021 Statistics Paper I
- IES ISS 2022 Statistics Paper II
- UPSC Statistics Previous Year Papers
- IES ISS 2022 Statistics Paper I Answer Key
- IES ISS Statistics Syllabus
- UPSC Exam Syllabus
- IES ISS Exam Pattern
Instructions
- THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC.
- 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.
- in the Answer Sheet. All items carry equal marks.
- 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.
- THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS.
- There are four alternatives for the answer to every question.
- For each question for which a wrong answer (i) has been given by the candidate, one-third of the marks assigned to that question will be deducted as penalty.
- If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given (ii) answers happens to be correct and there will be same penalty as above to that question.
- If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that (iii) question.
- DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO SO
Questions (page 2)
Q2. A large number of candidates from three States A, B and C appear at a selection test. Suppose 10 candidates are selected independently out of which X, Y, Z are respectively from A, B and C. If a candidate from State A had twice as much chance as one from B or from C to be selected, then cov(Y, Z) equals:
- (a) -(5/4)
- (b) -5/8
- (c) 0
- (d) (15/8)
Q3. Suppose Xn : n ge 1 is a sequence of independent random variables, and for each n ge 1, X takes the values -(3n)/(2), -n, -(n)/(2) and n with probability 1/4 each. Then the sequence Yn = (1)/(nα) sumi=1^n (xi)/(i) converges in probability to 0 if and only if:
- (a) α > 1
- (b) α = 1
- (c) α ≥ 1
- (d) α > (3/2)
Q4. A certain city receives three newspapers A, B and C. Newspaper A has 50% of the readers in that city, newspaper B has 30% of the readers and newspaper C has the remaining 20% of the readers. Assuming that no one in that city reads more than one paper, the probability that among 6 randomly chosen readers in that city, 3 will read newspaper A, 2 will read newspaper B and 1 (one) will read newspaper C, is :
- (a) 1/4
- (b) 1/8
- (c) 27/100
- (d) 27/200
Question paper preview
Scanned pages 1–2 for reference. Download the official PDF for the full paper.
Free question paper download
Download question paper PDF
Your download starts in 10s
Preparing your question paper file…
Frequently asked questions
What is the name of the exam for which this paper is?
This question paper is for the IES/ISS Exam.
What is the year of this IES/ISS exam paper?
The year of this exam paper is 2022.
Who conducts the IES/ISS Exam?
The IES/ISS Exam is conducted by UPSC.
What is the subject of this paper?
The subject of this paper is Statistics, specifically Paper I.
What is the total time allowed for this paper?
The time allowed for this paper is Two Hours.
What are the maximum marks for Statistics Paper I?
The maximum marks for Statistics Paper I are 200.