Bindeshwar S. Kushwaha

Expectation of X in Binomial Distribution

Binomial Distribution in Statistics

Let X be a random variable, it is said to follow binomial distribution if it follows the following probability mass function. And it can have only non-negative values. The binomial distribution is a discrete probability distribution. Binomial distribution is used to model problems, for instance,  getting  number of success after certain  number of random experiments […]

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Uniform-Distributionsize5000.png

Uniform Distribution

Uniform Distribution or Rectangular Distribution Uniform distribution or rectangular distribution is a continuous probability distribution. Definition- A random variable X is said to follow uniform or rectangular distribution it follows the following probability distribution function. And is denoted by X~U(a,b) Python Code to Plot Uniform Distribution import numpy import matplotlib.pyplot as plt a=20 b=50 x=

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Area Under Normal Distribution Curve

Central Limit Theorem and Normal Distribution

  Why is normal distribution is important? To understand the question you have to go through the Central Limit Theorem. Central Limit Theorem According to central limit theorem if X1, X2, X3,……Xn are random variables drawn from any probability distribution function with mean  Σμi  and standard deviation Σσi where (i=1,2,3,……n). The sum of random variables

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Standard Deviation

Standard Deviation, Variance and Covariance

Standard Deviation Variance and Covariance Standard deviation, variance and covariance have very important applications in machine learning and data science. Further, they are closely related to each other. In feature reduction techniques, such as PCA ( Principle Component Analysis) features are selected based on  high variance.  In this post I will explain standard deviation, variance

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Skewness and Kurtosis

Skewness and Kurtosis- Introduction- Skewness and Kurtosis are very important  concepts in statistics and have several applications.  In addition, they characterize the nature of data distribution which make data analysis easier. Moreover, I will separately discuss skewness and kurtosis in further sections. Skewness- Skewness  refers the measurement of lack of symmetry in data distribution. Measures

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Measures Central Tendency

Measures of Central Tendency : Mean, Median and Mode

Measures of central tendency in statistics  refers to a value which characterizes all the the data.  Mean, median and mode are very important measures of central tendency. Measures of central tendency is very fundamental in data science,  machine learning and data analytics areas. Moreover, if you want to make a carrier in data analytics you

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frequency distribution

Frequency Distribution in Statistics

Frequency distribution  in statistics refers to a graph or table which depicts or illustrate the occurrences of values. Frequency distribution is very important in study of statistics, machine learning and data science area.  To  understand frequency distribution you have to understand organization of data. Basically, there are three types of data organization techniques. 1- Individual

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UGC-NET

UGC-NET Computer Science and Applications Syllabus

UNIVERSITY GRANTS COMMISSION NET BUREAU NET SYLLABUS Subject : COMPUTER SCIENCE AND APPLICATIONS Code No.:(87) Unit – 1 : Discrete Structures and Optimization Mathematical Logic: Propositional and Predicate Logic, Propositional Equivalences, Normal Forms, Predicates and Quantifiers, Nested Quantifiers, Rules of Inference. Sets and Relations: Set Operations, Representation and Properties of Relations, Equivalence Relations, Partially Ordering.

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csirnet math syllabus

CSIR-NET Syllabus for Mathematical Sciences

CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship COMMON SYLLABUS FOR PART ‘B’ AND ‘C’ MATHEMATICAL SCIENCES UNIT –  1 Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system as a complete ordered field, Archimedean property, supremum, infimum. Sequences and series, convergence, limsup, liminf. Bolzano Weierstrass theorem, Heine Borel

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