Primer
A Secret Weapon for Predicting Outcomes: The Binomial Distribution
Calculating by hand for small numbers Independent events Building Pascal's triangle Binomial coefficient formula Empirical test
Brian McLogan
What is binomial expansion
👉 Learn all about 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...
TMW Media
Combinations
This program covers the important topic of combinations in Probability and Statistics. We begin by discussing what a combination is and why it is a central topic in probability. Next, we solve several problems that involve combinations...
TMW Media
Binomial Probability Distribution
This program covers the important topic of the Binomial Probability Distribution in Probability and Statistics. We begin by discussing what the Binomial Distribution is and why it is important. Next, we solve several problems that...
Curated Video
Practical Data Science using Python - Binomial Theory - Expected Value and Standard Error
This video explains the Binomial Theory - expected value and standard error. This clip is from the chapter "Statistical Techniques" of the series "Practical Data Science Using Python".This section explains advanced visualizations using...
Curated OER
Binomial Theorem (Part 3)
In this video on the Binomial Theorem, Sal tries to give an intuition behind why combinations are part of its definition. By looking at the expansion of (a + b)3 and carefully looking at where each value originates from, one can see how...
Khan Academy
Binomial Theorem (Part 2)
Sal shows two ways to calculate the coefficients of a binomial expansion quickly. The first method shows the relationship between PascalÕs triangle and the coefficients, and the second method shows an even faster way to write the...
Curated OER
Binomial Theorem (Part 2)
Sal shows two ways to quickly calculate the coefficients of a binomial expansion. With the first method, he shows the relationship between PascalÕs triangle and the coefficients, and in the second method, he shows an even faster way for...
Curated OER
Binomial Theorem (Part 1)
In this video, the Binomial Theorem is defined and used to expand (a + b) 4.
Khan Academy
Combinations
How many different ways can five people be arranged in any order in three chairs? Sal shows how combinations are different than permutations. He derives the formula for finding the combination without repetition.
Crash Course
The Binomial Distribution: Crash Course Statistics #15
And here I was thinking binomials were about algebra. The 15th installment of the Crash Course Statistics series focuses on the binomial distribution. It starts off with an example calculating the probability of getting shocked while...
Khan Academy
Khan Academy: Statistics: Binomial Distribution 2
Video continuing an example of a binomial distribution for the amount of heads in five flips of a coin by drawing the graph and including discussion on how the distribution relates to a normal bell curve. Also includes explanation of why...
Khan Academy
Khan Academy: Statistics: Binomial Distribution 4
Video demonstration continuing an example of a binomial distribution for the amount of free throw shots made out of six shots. Excel is used to calculate probabilities and graph the distribution. Video is also listed in the probability...
Khan Academy
Khan Academy: Statistics: Binomial Distribution 1
Video reviewing binomial probability, including binomial coefficients, and leading up to binomial distributions. An example with the probabilities of the different number of heads in five flips of a coin. Video is also included in the...
Khan Academy
Khan Academy: Statistics: Binomial Distribution 3
Video demonstration of finding the binomial distribution for an example about shooting six free throw shots by calculating the probabilities of each number of shots that were made. Video is also listed in the Probability section of Khan...
Khan Academy
Khan Academy: Pre Calculus: Binomial Theorem (Part 3)
The last video in a three-part series on the Binomial Theorem from the Khan Academy. This segment illustrates how the Binomial Theorem is directly related to combinatorics using (a + b)^3 as an example. Students can clearly see how a...
Khan Academy
Khan Academy: Pre Calculus: Binomial Theorem (Part 1)
An instructional video that presents the Binomial Theorem as an application of combinations. The formula for the Binomial Theorem is given and one example is illustrated in step-by-step fashion. This is the first in a series of three...
Khan Academy
Khan Academy: Pre Calculus: Binomial Theorem (Part 2)
This math video is a continuation of the Binomial Theorem (Part 1) also from the Khan Academy. It illustrates how the Binomial Theorem is related to Pascal's Triangle and how Pascal's Triangle can be used as an alternate method for...
Khan Academy
Khan Academy: Probability: Generalizing With Binomial Coefficients (Advanced)
Video lesson deriving the formula for finding the probability of k heads in n flips. Includes the formula for calculating combinations. [11:40]
Khan Academy
Khan Academy: Generalizing With Binomial Coefficients (Bit Advanced)
Video lesson deriving the formula for finding the probability of k heads in n flips.
Khan Academy
Khan Academy: Binomial Theorem: Binomial Theorem (Part 3)
Intuition behind why binomial expansion involves combinatorics. This segment illustrates how the Binomial Theorem is directly related to combinatorics using (a + b)^3 as an example. Students can clearly see how a binomial expansion...
Khan Academy
Khan Academy: Binomial Distribution 4
Visualize the basketball binomial distribution. Excel is used to calculate probabilities and graph the distribution.