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Mathematical Statistics fifth semester

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B.Sc. (Honours) Mathematical Statistics Fifth Semester Previous Question Paper 2025

This page contains the Fifth Semester B.Sc. (Honours) Mathematical Statistics question paper for the October/November 2025 Degree Examination. The paper is for Course 15 B – Mathematical Statistics, under the CBCS pattern.

Students can use this previous question paper to understand the examination pattern and prepare important topics such as probability, random variables, probability distributions, mathematical expectation, and moment generating functions.

Course15 B – Mathematical Statistics
SemesterFifth Semester
ExaminationOct/Nov 2025
Duration3 Hours
Max Marks75
PatternCBCS

Section A (5 × 5 = 25 Marks)

Answer any FIVE questions.

1. List all the sub-sets of the set A = {a, b, c, d}.
2. Define equally likely events and outcomes.
3. Explain conditional probability.
4. State and prove Bayes theorem.
5. Explain Discrete Random Variables.
6. Explain Probability Density Function with examples.
7. Explain C.F. Give its properties.
8. Define Moment Generating Function and state and prove its properties.

Section B (5 × 10 = 50 Marks)

Answer FIVE of the following questions. Each question carries equal marks.

9. (a) Define DeMorgan law and Distributive laws.

OR

9. (b) Define mathematical, statistical and axiomatic definitions of probability. Give their merits and demerits.

10. (a) State and prove Boole’s inequalities.

OR

10. (b) State and prove Addition Theorem.

11. (a) Define Probability Mass Function and its properties.

OR

11. (b) Derive Probability Density Function, mean and variance.

12. (a) Define Mathematical Expectation and mention its properties.

OR

12. (b) Define Moment Generating Function. State and prove additive property of MGF.

13. (a) Derive the Poisson distribution as a limiting case of Binomial distribution.

OR

13. (b) Derive the Moment Generating Function of Binomial distribution.

Important Topics Covered

Sets and subsets Equally likely events Conditional probability Bayes theorem Discrete random variables Probability density function Probability mass function DeMorgan’s & Distributive laws Boole’s inequalities Addition theorem Mathematical expectation Moment generating function Poisson distribution Binomial distribution

Download Mathematical Statistics Question Paper PDF

Students can download the B.Sc. (Honours) Fifth Semester Mathematical Statistics October/November 2025 question paper PDF here. If the file does not open directly, try saving it and opening it with a PDF reader.

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Updated: October 4, 2026 — 11:06 am

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