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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 Probability And Statistics certification course explores statistics and probability with broad applicability across disciplines, including physical sciences, engineering, economics, and social sciences. The course covers essential statistical reasoning and methodology. It strikes a balance between providing a solid conceptual understanding and delving into advanced theoretical aspects.

The Probability And Statistics certification by Swayam is industry-relevant, particularly for those aspiring to work in business analytics, banking, finance, insurance, machine learning, and data mining. By combining theoretical knowledge with practical application through examples and problem-solving, students gain indispensable skills for various career paths.

Also Read: Online Statistics Certification Courses

The Highlights

Core Online Course
12 Weeks Duration
Offered by IIT Kharagpur

Programme Offerings

Certificate of completion
Practical Learning
Hands-on Experience

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	IIT Kharagpur

The Probability And Statistics certification fees is free. However, if you want a certificate, you must register and take the proctored exam at designated centers, which is optional and comes with a fee of Rs 1000.

Probability And Statistics Certification Fee Structure

Particulars	Total Fees
Probability And Statistics (exam)	Rs 1000/-

Eligibility Criteria

Academic Qualifications

The Probability And Statistics certification course requires a strong foundation in calculus, sequences and series, and basic linear/matrix algebra.

Certification Qualifying Details

To receive the Probability And Statistics certification by Swayam, you need a minimum average assignment score of 10/25 and an exam score of 30/75.

What you will learn

After completing the Probability And Statistics certification syllabus, you will delve into the fundamental principles of statistics and probability, gaining a solid understanding of their applications across diverse disciplines. You will also be equipped with the essential skills for statistical reasoning.

Upon completion of the Probability And Statistics training, you will develop proficiency in handling real-world scenarios through examples and application-oriented problems. You will also gain a foundational knowledge of calculus, sequences, series, and basic linear/matrix algebra.

Who it is for

Data AnalystStatisticianBusiness AnalystActuaryFinancial Analyst

The Probability And Statistics online course is suitable for individuals who seek to gain a foundational understanding of statistics and probability. This course is particularly relevant for:

Admission Details

Follow these steps to join the Probability And Statistics classes:

Step 1: Browse the URL below:

https://onlinecourses.nptel.ac.in/noc23_ma83/preview

Step 2: Click on the “Sign-in/ Register” button

Step 3: Fill out the necessary details and submit the form

The Syllabus

Sets, Classes, Collections
Sequence of Sets
Ring, Field (Algebra)
Sigma-Ring, Sigma-Field, Monotone Class
Random Experiment, Events
Definitions of Probability
Properties of Probability Function-I
Properties of Probability Function-II

Conditional Probability
Independence of Events
Problems in Probability-I
Problems in Probability-II
Random Variables
Probability Distribution of a Random Variable-I

Probability Distribution of a Random Variable-II
Moments
Characteristics of Distributions-I
Characteristics of Distributions-II
Special Discrete Distributions-I
Special Discrete Distributions-II\

Special Discrete Distributions-III
Poisson Process-I
Poisson Process-II
Special Continuous Distributions-I
Special Continuous Distributions-II
Special Continuous Distributions-III

Special Continuous Distributions-IV
Special Continuous Distributions-V
Normal Distribution
Problems on Normal Distribution
Problems on Special Distributions-I
Problems on Special Distributions-II

Function of a Random Variable-I
Function of a Random Variable-II
Joint Distributions-I
Joint Distributions-II
Independence, Product Moments
Linearity Property of Correlation and Examples

Bivariate Normal Distribution-I
Bivariate Normal Distribution-II
Additive Properties of Distributions-I
Additive Properties of Distributions-II
Transformation of Random Variables
Distribution of Order Statistics

Basic Concepts
Chi-Square Distribution
Chi-Square Distribution (Cont…), t-Distribution
F-Distribution
Descriptive Statistics – I 50. Descriptive Statistics – II

Descriptive Statistics – III
Descriptive Statistics – IV
Introduction to Estimation
Unbiased and Consistent Estimators
LSE, MME 56. Examples on MME, MLE

Examples on MLE-I
Examples on MLE-II, MSE
UMVUE, Sufficiency, Completeness
Rao-Blackwell Theorem and its Applications
Confidence Intervals-I
Confidence Intervals- II 63. Confidence Intervals- III\

Confidence Intervals- IV
Basic Definitions
Two Types of Errors
Neyman-Pearson Fundamental Lemma 68. Applications of N-P Lemma-I
Applications of N-P Lemma-II

Testing for Normal Mean
Testing for Normal Variance
Large Sample Test for Variance and Two Sample Problem
Paired t-Test
Examples
Testing Equality of Proportions

Evaluation process

The Probability And Statistics certification offers an optional exam. Your final score is determined by averaging the best 8 out of 12 assignments (25%) and your proctored exam score (75%).

IIT Kharagpur Frequently Asked Questions (FAQ's)

1: Is the Probability And Statistics online course suitable for beginners in statistics?

Yes. This course is designed to introduce statistics and probability to students who may be new to the subject. It thoroughly covers foundational concepts, making it accessible to all learners.

2: What mathematical background do I need for the Probability And Statistics certification course?

A good understanding of calculus, including topics like differential and integral calculus, as well as familiarity with sequences, series, and basic linear/matrix algebra is recommended.

3: How will the Probability And Statistics certification benefit my career?

This course equips you with essential skills in statistical reasoning and methodology, which are highly sought after in various industries.

4: Are there any industry-specific applications covered in the Probability And Statistics online course?

Yes, the course includes examples and case studies from industries such as electronics, electrical engineering, computer science, industrial engineering, biology, genetics, and information science.

5: Can I take this course if I am not a science or engineering student?

Yes. While the course is primarily designed for undergraduate and postgraduate students in science and engineering, it is open to any interested learners.