Q1. Let A1, A2, A3 and A4 be independent events such that P(A1) = 1/2, P(A2) = 1/4, P(A3) = 1/8 and P(A4) = 1/16. What is P(A1 cup A2 cup A3 cup A4) equal to ?
- (a) 15/16
- (b) 1023/1024
- (c) 709/1024
- (d) 315/1024
UPSC IES ISS 2018 Statistics Paper I Question Paper PDF
- Year 2018
- Conducted By UPSC
- Questions 80
- Maximum Marks 200
- Duration Two Hours
Exam Details
| Detail | Information |
|---|---|
| Examination | Indian Economic Service and Indian Statistical Service Examination |
| Year | 2018 |
| 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 Statistics Paper I from the Indian Economic Service (IES) and Indian Statistical Service (ISS) Examination conducted by UPSC in 2018. The paper consists of 80 objective-type questions and is allocated a maximum of 200 marks, with a time limit of two hours. This question paper is a crucial resource for aspirants preparing for the IES ISS examination, offering insights into the exam pattern, question difficulty, and important topics covered in Statistics.
Major Topics Covered
- Probability
- Random Variables
- Probability Density Function
- Conditional Probability
- Urn Problems
- Sampling
- Defective Items
Why This Paper is Important
- Useful for Indian Economic Service and Indian Stati 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
- UPSC IES ISS 2017 Statistics Paper I
- UPSC IES ISS 2019 Statistics Paper I
- UPSC IES ISS 2018 Statistics Paper II
- UPSC IES ISS 2018 Statistics Paper I Answer Key
- UPSC IES ISS Statistics Syllabus
- UPSC IES ISS Paper I Syllabus
- UPSC IES ISS Exam Pattern
- UPSC IES ISS Paper I 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 (0.33) 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 ASKED TO DO SO (1-A)
Questions (page 2)
Q2. A lot of 15 mobiles contains 4 defective mobiles. The mobiles are taken out one by one at random and examined. The examined ones are not put back. The probability that the ninth mobile examined is the last defective is
- (a) 56/195
- (b) 8/195
- (c) 1/7
- (d) 24/65
Q3.
Let X be a random variable having probability density function
f(x) = \begincases (x)/(2), & 0 < x ≤ 1 \\ 1/2, & 1 < x ≤ 2 \\ (3-x)/(2), & 2 < x ≤ 3 \endcases
What is P(1.5 < X ≤ 2.5 | X > 1) equal to ?
- (a) 3/8
- (b) 1/2
- (c) 5/8
- (d) 1/4
Q4. The first of three urns contains 7 white and 10 black balls; the second urn contains 5 white and 12 black balls; and the third urn contains 17 white balls only. A person chooses an urn at random and draws a ball from it. The ball is white. What are the probabilities that the ball drawn is from the first, second and third urns respectively ?
- (a) 7/29, 6/29, 18/29
- (b) 7/29, 5/29, 20/29
- (c) 7/29, 5/29, 17/29
- (d) None of the above
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Frequently asked questions
What is the name of the examination?
The examination is the Indian Economic Service and Indian Statistical Service Examination.
Which paper is this question paper for?
This is for Statistics Paper I.
What is the conducting body for this exam?
The conducting body is UPSC (Union Public Service Commission).
In which year was this exam conducted?
This exam was conducted in 2018.
What is the maximum marks for Statistics Paper I?
The maximum marks for Statistics Paper I is 200.
What is the time duration allowed for this paper?
The time allowed for this paper is Two Hours.