Interested in this College?
Get updates on Eligibility, Admission, Placements Fees Structure

Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The Probability and Probability Distributions certification course is taught by Dr P Nagesh, author of 22 international refereed journals. He is currently working at the Jayachamarajendra College of Engineering in Mysore. Thus, students joining the course as amateurs in the probability domain are sure to gain mastery over the concepts.

Spread over 12 weeks, this elective programme is an undergraduate-level course. From permutations and combinations to probability and concept of random variables to variance and standard deviations, the Probability and Probability Distributions certification syllabus covers it all. The curriculum, divided into weekly modules, also includes practical applications of addition and multiplication theorem and Bayes theorem.

The Probability and Probability Distributions training also enhances the students’ understanding by helping them polish their concepts via in-course assessment tests. Besides, the course also offers its learners the chance to obtain a certification which can be done by taking the end-term examination. Moreover, students are also eligible for a credit transfer.

The Highlights

Course offered by the Jayachamarajendra College of Engineering, Mysore
Sample YouTube video
Extensive coverage of syllabus
Internal assignments
Certification available
End-term exam (for certification)
Twelve-week course
Elective program
Undergraduate course in Mathematics

Programme Offerings

Course offered by the Jayachamarajendra College of Engineering
Mysore
Undergraduate Course
Sample YouTube video
Elective program
Extensive coverage of syllabus
Twelve-week course
Internal assignments
End-term exam (for certification)

Courses and Certificate Fees

Certificate Availability	Certificate Providing Authority
yes	JSS Science and Technology University, Mysuru

Eligibility Criteria

Certification qualifying details

Students who wish to make the most of the Probability and Probability distributions online course can obtain a certification. Accreditation will only be awarded if the student secures a minimum of 40% of the marks in the internal assessments and 40% of the marks in the end-term proctored exam. In addition, students who qualify for the exam likewise are also eligible for credit transfers.

What you will learn

Statistical skills

Once the candidate completes the Probability and Probability Distributions online course, he/she will notice a profound understanding of the following concepts:

Expectation of a random variable
Properties of a random variable
Discrete uniform distribution
Applications of Bayes theorem
Bernoulli distribution
Negative binomial distribution
Gamma and beta distribution

Admission Details

Click on the link mentioned here: https://onlinecourses.swayam2.ac.in/cec21_ma02/preview to visit the Probability and Probability Distributions course page.
You can now see the course page open on the Swayam platform.
Go through all the course details and click on the ‘Sign-in/Register’ option at the top of the page.
You are now redirected to a registration page where you can sign with your pre-existing login credentials. In case you do not have any, you can sign in with your socials. (Google/Microsoft/ Facebook)
Once you fill in the details, the course page reopens, and you should now click on ‘Join’ at the top of the screen.
Upon clicking the button, candidates will be redirected to a new page where they have to fill in their educational and personal details.
After completing the process, you can get to access the course content on the portal.

Application Details

The Probability and Probability Distributions certification course does not require the students to fill any additional details apart from the essential details like name, email address, contact number, educational qualifications, name of institution etc.

The Syllabus

Bayes theorem and its application
Definition of probability, relative and classical frequency approach to probability
Axiomatic Approach to Probability

Moment generating functions, their properties and uses
Expectation of a Random variable and its properties
Discrete Uniform Distribution

Binomial distribution
Poisson Distribution
Bernoulli Distribution

Continuous Random Variable and Probability Density Function
Geometric Distribution
Negative binomial distribution

Standard univariate continuous distributions and their properties
Gamma and Beta distributions
Uniform distribution

Normal Distribution
Pareto Distribution
Cauchy and logistic distributions

Marginal and conditional distributions
Continuous and Bivariate Discrete Distribution, its PDF and PMF
Definition of central and raw product moments and Bivariate moments

Bivariate Normal Distribution (Part-I)
Conditional Mean and Conditional Variance
Bivariate Normal Distribution (Part-Il)

Practical –Use the addition and multiplication theorem to compute probability
Practical – Use conditional probability and Bayes theorem to compute probability
Conditional Probability and Independent Events

Practical-Computations of probabilities and fitting discrete distributions
Sketching the probability distribution functions
Practical-Problems on PMF Variance, Expectation, Quartiles, Skewness and Kurtosis

Standard Univariate Continuous Distributions Fitting like Exponential and Normal Distributions
Computation of probabilities, expectation, moments & moment generating functions
Sketching Distribution Functions and Density Functions

Drawing random samples from Bivariate Normal distribution
Random Samples Simulation from Standard Univariate Continuous Distributions such as Exponential, Normal, and Cauchy Distributions
Computing Marginal and Conditional Expectations
Computing Marginal and Conditional Probability Distributions

Evaluation process

All the candidates who are interested in obtaining the Probability and the Probability Distributions certification are required to appear for an end term examination. This exam will contain 100 questions, and the score obtained in this test will contribute towards 70 per cent of the final result.

In addition, candidates will also be given internal assignments that will be considered for internal marks, and these will contribute towards 30 per cent of the final result.

In order to be eligible for obtaining the certificate and the credit transfer, students are required to obtain a minimum of 40 per cent marks in the internal assessments and 40 per cent marks in the end-of-the-term proctored examination.