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
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.