Masters in Finance. Currently pursuing PG Diploma in Economics from the University of London. You can follow me for Econometrics.

Shreelekha Verma 

This collection focuses on the understanding of discrete and continuous random variables. It also throws light on concepts like expected value, variance, covariance and correlation of the random variables. The major part of this collection focuses on what is sampling and why we require estimators. Once we choose estimators, how do we know which is a good estimator and what are the measures for testing it. It also throws light on Hypothesis testing- 5% significance level and 1% significance level test and the difference between the two. You guys will get a clearer understanding by working out some exercises on the concepts of Probability distribution, expected value, variance, Unbiasedness and Efficiency. 

IIT JEE 2020 and 2021 Main and Advanced exam preparation. Know about detailed syllabus, best books, exam pattern and dates. Cover previous year question papers and book solutions from great educators.

IIT JEE

JEE Main and Advanced Preparation

English

Random Variables, Sampling And Estimation

Statistics

Algebra

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

This lesson deals with discrete random variables and its expected value. 

Discrete Random Variables

This lesson focuses on the understanding of population variance and standard deviation of a discrete random variable. What you need to focus is on the formula and you can refer the example as well for a better understanding. 



Population Variance Of Discrete Random Variables

This lesson focuses on definition and formulas of Covariance, Covariance rules, Variance rules, Correlation and why it is better than Covariance. 
This lesson is beneficial for students looking to learn concepts of Statistics and Econometrics. 

Population Covariance And Correlation

This lesson focuses on the definition of Sampling and why we require sampling. It then goes on to explain the definition of Estimators, difference between Estimate and Estimators. Majorly it will help you in knowing how to choose a good estimator and which measure is preferable between Unbiasedness and Efficiency. 

Understanding Of Sampling And Estimators

This lesson will tell you the formulas for estimation of Variance, Covariance and Correlation. It will throw light on why we divide it by (n-1) and not n. The concept is being explained with an example to give you a clearer understanding. 

Estimators Of Variance, Covariance And Correlation

This lesson throws light on explanation of Hypothesis Testing and difference between Null hypothesis and Alternate hypothesis. It then goes on to explain Type 1 error and Type 2 error which we can incur while choosing a hypothesis. Majorly you guys have to focus on z statistic - a formula for hypothesis testing at different significance level, in this lesson 5% significance level is used. 

Overview Of Hypothesis Testing

This is in continuation of the last lesson. In the last lesson, we did testing at 5% significance level. In this lesson we focus on testing at 1%significance level and why it is better to test at 1% rather than at 5%. It also throws light on when we should take which test. It is being explained with an example for a better understanding. 

Hypothesis Testing At 1% Significance Level

This lesson is part of lesson 3 where we saw the definitions of variance and covariance along with its rules. This lesson majorly focuses on the proofs of the same rules of Variance and Covariance so it is easier for you all to remember and just in case you forget the rules you can work it out on your own. 

Proofs Of Variance And Covariance Rules

This lesson focuses on an exercise on the concept we studied in lesson 1. The example will help you in the calculation of probability distribution, expected value, variance and standard deviation of the discrete random variables. 

Exercise On The Concept Of Expected Value And Variance

This lesson will give you a clearer understanding of the concept of Unbiasedness and Efficiency of Estimators. It will make your view with respect to Efficiency clearer as one of the exercises is theory based and is tricky to answer. 

Exercises On The Concept Of Unbiasedness And Efficiency

Maths Faculty for IIT JEE , Author of McGraw Hill in IIT JEE section, Ex Senior Professor of Aakash Instt,New Delhi

Rejaul Makshud

This course deals with concepts of - Probability for IIT JEE

(Hindi) Probability - IV : IIT JEE

A game-changer in Mathematics, produced 100 percentilers multiple times, AIR 33 & 34 (Mains 2024), his courses are the Benchmark for IIT JEE

Vineet Loomba

This Course explains the portion of Probability in great detail with special focus of JEE Main and Advanced Exam. The concepts have been started from basics and taken up Advanced level. Side by Side typical solved examples have been taken up to strengthen the concepts for strong fundamentals foundation to excel in any competitive exam. This course is suitable for anyone who wants to have in-depth knowledge of probability.

(Hindi) Probability Made Easy for IIT-JEE

This Course aims to provide crisp knowledge of statistics for IIT-JEE Exam. Concepts of Statistics of class 11 school exams will also be covered. This also includes the previous year questions on statistics

(Hindi) Statistics Complete Course on Latest Pattern : IIT JEE

Sameer Sadana

A course on probability from the perspective of JEE covering topics from class xii.

Conditional Probability for IIT JEE Mains and Advanced

Akhil Jain

This course deals with the concept of Probability. What do we mean by Probability? What sense does it make? We have discussed different terminologies related to probability and also done solved lots of problem related to finding Probability under given conditions. This chapter will enable the aspirants preparing for JEE develop logical thinking ability to tackle down problems. The course content has been designed in such a way to make understanding easier and concepts have been explained through problems similar to those asked in JEE Advanced.

(Hindi) Probability

An IIT-Delhi alumnus, mentor to top AIRs like 12 & 24, a specialist in Calculus, former faculty at Bansal Classes, Vibrant Academy & Etoos.

Manoj Chauhan

Course deals with Basics of counting/ Tricks to Count Fast / Permutation and Combination

Lessons

10 lessons • 1h 8m

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Discrete Random Variables

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Population Variance Of Discrete Random Variables

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Population Covariance And Correlation

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Understanding Of Sampling And Estimators

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Estimators Of Variance, Covariance And Correlation

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Overview Of Hypothesis Testing

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Hypothesis Testing At 1% Significance Level

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Proofs Of Variance And Covariance Rules

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Exercise On The Concept Of Expected Value And Variance

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Exercises On The Concept Of Unbiasedness And Efficiency