# Author name: DR. MOHAMMED MAZHAR UL HAQUE

I am DR. Mohammed Mazhar Ul Haque. I have completed my Ph.D. in Mathematics and working as an Assistant professor in Mathematics. Having 12 years of experience in teaching. Having vast knowledge in Pure Mathematics, precisely on Algebra. Having the immense ability of problem design and solving. Capable of Motivating candidates to enhance their performance. I love to contribute to Lambdageeks to make Mathematics Simple, Interesting & Self Explanatory for beginners as well as experts. Let's connect through LinkedIn - https://www.linkedin.com/in/dr-mohammed-mazhar-ul-haque-58747899/

## Can Normal Distribution Be Skewed: Detailed Facts, Examples And FAQs

Introduction The normal distribution, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric and bell-shaped. It is widely used in statistics and various fields to model random variables. However, there is a common misconception that the normal distribution cannot be skewed. In reality, the normal distribution can indeed …

## Negatively Skewed Distribution: 9 Facts You Should Know

Introduction to Skewed Distributions Skewed distributions are a common occurrence in statistics and data analysis. They provide valuable insights into the shape and characteristics of a dataset. In this section, we will explore the definition of skewed distributions and how skewness is used as a measure of asymmetry in the distribution. Definition of Skewed Distribution …

## Skewness: 7 Important Facts You Should Know

Content  Skewness     The curve which is the plotted observations represents the skewness if the shape of the curve is not symmetric, of the given set. In other words the lack of symmetry in the graph of the given information represents the skewness of the given set. Depending on the tail in the right or …

## Hermite Polynomial: 9 Complete Quick Facts

Introduction to Hermite Polynomials Hermite polynomials are a set of orthogonal polynomials that have significant importance and applications in various fields of mathematics and physics. These polynomials are named after Charles Hermite, a French mathematician who introduced them in the 19th century. Hermite polynomials are closely related to Hermite functions, which are eigenfunctions of the …

## 13 Facts On Chebyshev’s Inequality & Central Limit Theorem

In the probability theory the Chebyshev’s Inequality & central limit theorem deal with the situations where we want to find the probability distribution of sum of large numbers of random variables in approximately normal condition, Before looking the limit theorems we see some of the inequalities, which provides the bounds for the probabilities if the …

## Problems On Probability & Its Axioms

Introduction to Probability and Its Axioms Probability is a fundamental concept in mathematics that allows us to quantify uncertainty and make predictions about the likelihood of events occurring. It plays a crucial role in various fields, including statistics, economics, physics, and computer science. In this section, we will explore the definition of probability and its …

## Conditional Expectation: 7 Facts You Should Know

Conditional expectation is a concept in probability theory that plays a crucial role in various fields, including statistics, economics, and finance. It is a way to predict the expected value of a random variable given certain information or conditions. The properties of conditional expectation are important in understanding and analyzing probabilistic models. These properties include …

## Moment Generating Functions: 13 Important Facts

The moment generating function is a powerful tool in probability theory and statistics that allows us to study the properties of random variables. It provides a way to generate moments of a random variable by taking the derivatives of the function. The moment generating function is defined as the expected value of e^(tX), where X …

## Covariance, Variance Of Sums: 7 Important Facts

COVARIANCE, VARIANCE OF SUMS, AND CORRELATIONS OF RANDOM VARIABLES   The statistical parameters of the random variables of different nature using the definition of expectation of random variable is easy to obtain and understand, in the following we will find some parameters with the help of mathematical expectation of random variable. Moments of the number …

## Conditional Variance & Predictions: 7 Important Facts

In this article the conditional Variance and predictions using conditional expectation for the different kind of random variable with some examples we will discuss. Conditional Variance The conditional variance of random variable X given Y is defined in similar way as conditional Expectation of random variable X given Y as (X|Y)=E[(X-E[X|Y])2|Y] here variance is the …

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