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Section-A


1.Notion of Probability 

2.Probability Distribution(Random variables)

3.Some Discrete Probability Distribution 


Section-B


4.Continuous Random Variables 

5.Bivariate random variables 

Paper III : PROBABILITY THEORY

Note: 1. The syllabus has been split into two Units: Unit-I and Unit-II. Four questions will be set from
each Unit.
2. A student will be asked to attempt five questions selecting at least two questions from each Unit.
Each question will carry 6 marks.
 3. The teaching time shall be five periods (45 minutes each) per paper per week including tutorial.
 4. If internal assessment is to be conducted in the form of written examinations, then there will be
only one written examination in a Semester.

SECTION A
Review of notion of Probability, conditional Probability and independence, Bayes’ Theorem.
Random Variables : Concept, probability density function, cumulative distribution function, discrete and continuous
random variables, expectations, mean, variance, moment generating function, skewness and kurtosis.
Discrete Random Variables : Bernoulli random variable, binomial random variable, negative binomial random
variable, geometric random variable, Poisson random variable.

SECTION B
Continuous Random Variables : Uniform random variable, exponential random variable, Beta random variable,
Gamma random variable, Chi-square random variable, normal random variable.
Bivariate Random Variables : Joint distribution, joint and conditional distributions, Conditional Expectations,
Independent random variables, the correlation coefficient, Bivariate normal distribution.

Dive into the fascinating world of Probability Theory with "A Textbook of Probability Theory" by O.P. Arora, published by S. Dinesh & Co. This textbook is meticulously crafted for BSC 3rd year students preparing for their 5th semester at Punjab University, Chandigarh. 


Probability Theory is fundamental in various fields such as mathematics, statistics, economics, and even everyday decision-making scenarios. This textbook provides students with a solid foundation, beginning with the essential notion of probability, where you will explore the basic principles that govern how we assess uncertainty. O.P. Arora employs clear explanations and illustrative examples, allowing students to grasp complex concepts with ease.


The book's first section focuses on Probability Distribution and Random Variables, delving into the different types of distributions that describe random phenomena. Understanding these concepts is crucial as they form the backbone of probabilistic models. The author emphasizes Discrete Probability Distributions, making the material relatable and digestible for students. Engaging exercises are provided to reinforce learning and enhance problem-solving skills.


Transitioning into the second section, readers will encounter Continuous Random Variables and Bivariate Random Variables. Here, the text elaborates on the importance of continuous distributions in practical applications and statistical inference. With a balanced mix of theory and practice, students will not only learn to compute probabilities but also develop the analytical skills necessary to interpret outcomes and make informed predictions.


What truly sets "A Textbook of Probability Theory" apart is its integration of real-world applications, allowing students to see the relevance of probability in their daily lives and future careers. Each chapter is carefully structured to build on the previous material, ensuring a coherent learning experience that fosters deep understanding.


Moreover, the book is designed to assist students in preparing effectively for their examinations. With practice problems and insights derived from university question papers, learners can apply their knowledge and hone their skills in a variety of contexts.


In summary, O.P. Arora's "A Textbook of Probability Theory" is an essential resource for BSC 3rd year students in their 5th semester at Punjab University. With its clarity, comprehensive coverage, and practical approach, this textbook is a valuable investment in your academic journey. Elevate your understanding and mastery of probability theory by adding this must-have resource to your collection today! Order your copy and take the first step toward excelling in your studies!

Section-A


1.Notion of Probability 

2.Probability Distribution(Random variables)

3.Some Discrete Probability Distribution 


Section-B


4.Continuous Random Variables 

5.Bivariate random variables 

Have Doubts Regarding This Product ? Ask Your Question

Paper III : PROBABILITY THEORY

Note: 1. The syllabus has been split into two Units: Unit-I and Unit-II. Four questions will be set from
each Unit.
2. A student will be asked to attempt five questions selecting at least two questions from each Unit.
Each question will carry 6 marks.
 3. The teaching time shall be five periods (45 minutes each) per paper per week including tutorial.
 4. If internal assessment is to be conducted in the form of written examinations, then there will be
only one written examination in a Semester.

SECTION A
Review of notion of Probability, conditional Probability and independence, Bayes’ Theorem.
Random Variables : Concept, probability density function, cumulative distribution function, discrete and continuous
random variables, expectations, mean, variance, moment generating function, skewness and kurtosis.
Discrete Random Variables : Bernoulli random variable, binomial random variable, negative binomial random
variable, geometric random variable, Poisson random variable.

SECTION B
Continuous Random Variables : Uniform random variable, exponential random variable, Beta random variable,
Gamma random variable, Chi-square random variable, normal random variable.
Bivariate Random Variables : Joint distribution, joint and conditional distributions, Conditional Expectations,
Independent random variables, the correlation coefficient, Bivariate normal distribution.

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