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Quick Facts

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

Course Overview

The Introduction to Probability (with examples using R) online course is a 12-week study on probability and statistics. It targets engineering and science students who have finished their first year in undergraduate studies. Learners will also use the R package’s illustrated examples, web-references, and video lectures for an immersive educational experience.

Through the Introduction to Probability (with examples using R) certification syllabus, candidates will pick up Poisson approximations, Chebyshev inequalities, conditional expectation, and variance. Students must know basic calculus before commencing the course, and start the next module once they complete the previous week’s topics.

Developed by the Indian Statistical Institute, this elective course is an AICTE-approved FDP program. Students can enroll in the Introduction to Probability (with examples using R) by SWAYAM for free. If they wish to avail of the certificate, they must pay a nominal fee, complete the curriculum, and appear for the final exam. It’s advisable for candidates to regularly visit the website to know when the registrations begin.

The Highlights

Assignments
Twelve-week program
Category- Mathematics, Foundations of Mathematics
Final proctored examination
Training type- Elective
Free learning
Payable certificates (e-verifiable)
Illustrated examples
Ongoing course
NPTEL and Swayam’s e-verified certificate
Online training
Undergraduate -level curriculum

Programme Offerings

Final proctored exam
assignments
E-certificate
Ongoing course
Elective curriculum
12-week program
Postgraduate level training
online learning
video lectures

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	Indian Statistical Institute, Bangalore

The Introduction to Probability (with examples using R) program is free for students to learn. Those interested in the post-completion certificate must pay the Rs.1,000 test fee to appear for the proctored examination. A detailed description of the Introduction to Probability (with examples using R) Fees is given below.

Introduction to Probability (with examples using R) course fee structure

Online course details	Fees
Course learning	Free
Course learning + Certificate	Rs. 1,000

Eligibility Criteria

Students must know introductory calculus and integral functions to continue learning from the Introduction to Probability (with examples using R) online course.

Certification qualifying details

By registering for Swayam’s examination, obtaining 30/75 (or more) in it and 10/25 (or more) in the course assignments, aspirants can earn the Introduction to Probability (with examples using R) certification.

What you will learn

Statistical skills

As per the topics laid out in the Introduction to Probability (with examples using R) training, students will gain insights on:

Conditional probability
Bernoulli trials
Discrete random variables
Covariance and correlation
Variance and expectations
Chebyshev and Markov inequalities
Uniform distributions
Independence
Central Limit theorem
Law of Large Numbers

Who it is for

The Introduction to Probability (using R examples) training targets students who have completed their freshman year in engineering or other related sciences at an undergraduate level.

Admission Details

Step 1. Take a tour of the course’s webpage by using the web link given: Introduction to Probability (with examples using R) - Course (nptel.ac.in).

Step 2. Click the ‘Sign-in/Register’ option available on the top.

Step 3. Fill in the necessary details to create a new learning account. If not, link your Google/Facebook/Microsoft account. Alternatively, if you have a profile already, use it to sign in.

Step 4. Click on ‘send verification code’ and upon receiving it via email, fill it to create your learner’s account on SWAYAM.

Application Details

Students interested in registering for the Introduction to Probability (with examples using R) online course need to enter their mail ID. Then, they need to create a username and password of their choice. Candidates can now use their new credentials to log in and learn from the course.

The Syllabus

Sample Space, Events, and Probability
Properties of Probability
R set up

Equally likely Outcomes
Conditional Probability
Bayes Theorem

Independence
Sampling and Repeated Trials

Sampling and Repeated Trials(Cont.,)
Sampling and Repeated Trials(Cont.,)
Gambler's Ruin

Sampling with and without replacement
Sampling without replacement
Hypergeometric Distribution and Discrete Random Variables

Discrete Random Variables

Conditional, Joint and Marginal Distributions
Memoryless property of Geometric Distribution

Expectation of Random Variables
Properties of Expectation
Variance of Discrete Random Variables

Expectation :Independence and Functions
Markov and chebyschev Inequalities
Conditonal Expectation and Covariance

Functions of Random Variables
Sums of Independent Random Variables
Functions and Independence

Continuous Random Variables
Exponential and Normal Random Variable
Convergence of binomial to Normal

Normal Random Variable
Distribution Function

Evaluation process

Students must apply for the end-term test through the website link, only during exam enrollment. They will be assigned SWAYAM’s centers and time slots (morning 9-12/ afternoon 2-5), where they must appear in person. For the Introduction to Probability (with examples using R) course, the exam will commence on a date available on the portal.

A candidate’s final score in the exam along with the assignment grade determine their eligibility for certification.