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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo 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 InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT 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

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.

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