Factorial and binomial topics | Approximations
The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that It is valid when and where and may be real or complex numbers. The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in ) and is a common tool in physics. The approximation can be proven several ways, and is closely related to the binomial theorem. By Bernoulli's inequality, the left-hand side of the approximation is greater than or equal to the right-hand side whenever and . (Wikipedia).
Find the third term of a binomial expansion
👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
The Binomial Theorem | A-level Mathematics
Understanding the binomial theorem. Thanks for watching! This is applicable when the exponent of the binomial is a natural number. If the exponent is a fraction, you need a slightly different version of this theorem which is a topic for another video. ❤️ ❤️ ❤️ Support the channel ❤️
From playlist A-level Mathematics Revision
Use binomial expansion to determine the 3rd term
👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
How to find the third term of a binomial expansion to the fifth power
👉 Learn how to find the given term of a binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
Using binomial expansion to expand a binomial to the fourth power
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
Binomial expansion to the sixth power
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
Using binomial expansion to expand a binomial to the fourth degree
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
How to find the third term of the binomial expansion
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
Find the third term of a binomial to the sixth power
👉 Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion technique to easily expand the power. The general formula
From playlist Sequences
Year 13/A2 Statistics Chapter 3.6 (The Normal Distribution)
This session explains the normal approximation to the binomial distribution: when 𝑛 is large and 𝑝 is close to 0.5, binomial distributions can very accurately be approximated by the normal distribution. These questions can be rather demanding, and so I have included some extra worked examp
From playlist Year 13/A2 Statistics
OCR MEI Statistics 2 3.04 Approximating a Binomial or Poisson with a Normal Distribution
Thanks for watching! Please like my new Facebook page https://www.facebook.com/TLMaths-1943955188961592/ to keep you updated with future videos :-)
From playlist [OLD SPEC] TEACHING OCR MEI STATISTICS 2 (S2)
Binomial Setting & Binomial Distribution in Statistics Pt 2
In part 2 of my lecture about the Binomial Setting, I show how to set up a probability distribution function for a binomial variable when x is defined as the number of successes. I then introduce how to find probabilities of binomial events through Normal Approximation and compare this pr
From playlist AP Statistics
Binomial Expansion and Approximation - AS Level Maths
An application of binomial expansion! We can use binomial expansion to estimate or approximate decimal values set to given powers. Approximations/estimations using binomial expansions is a VERY common type of AS Level Maths exam question! Welcome to the BINOMIAL EXPANSION chapter for th
From playlist AS Level Maths Pure - AQA, Edexcel and OCR MEI
OCR MEI Statistics Minor J: Poisson Distribution: 12 Approximating a Binomial
https://www.buymeacoffee.com/TLMaths Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ Many, MANY thanks to Dea
From playlist OCR MEI Statistics Minor J: Poisson Distribution
A-Level Maths: N2-12 Normal Distribution: Approximating a Binomial Distribution
Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: https://www.instagram.com/tlmaths/ My LIVE Google Doc has the new A-Level Maths specification and
From playlist A-Level Maths Statistics
38 - The Poisson distribution - an introduction - 2
This video provides an introduction to the Poisson distribution, providing a definition, discussing example situations which might be modelled adequately using this distribution, deriving its mean, providing simulations in Matlab which demonstrate its shape, discussing how it can be used t
From playlist Bayesian statistics: a comprehensive course
OCR MEI Statistics 2 2.02 Approximating a Binomial Distribution with a Poisson Distribution
Thanks for watching! Please like my new Facebook page https://www.facebook.com/TLMaths-1943955188961592/ to keep you updated with future videos :-)
From playlist [OLD SPEC] TEACHING OCR MEI STATISTICS 2 (S2)
Example of 1 Sample Proportion Z-test
I do multiple examples of Normal Approximation calculations of sample proportions. I also compare this process to using the binomcdf(n,p,k) commands in you calculator. PLEASE NOTE: The Independence check should read: Independence: It is reasonable to assume the population of all people
From playlist AP Statistics
L19.6 Normal Approximation to the Binomial
MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu
From playlist MIT RES.6-012 Introduction to Probability, Spring 2018
Binomial Theorem Problem Solving - part 2 | A-level Mathematics
How to answer questions involving the binomial theorem. A very useful tool! To understand this theorem watch part 1 - https://youtu.be/IhyLfVxoDh4 Practice questions - http://bit.ly/308ZjKk ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS
From playlist A-level Mathematics Revision