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Probability With The Binomial Distribution And Pascal's Triangle: A Key Idea In Statistics
What Is The Binomial Distribution?The binomial distribution is one of the key ideas in statistics. It calculates the probability of getting a certain number of an outcome, for instance you can use it to calculate the probability of rolling five 6's out of 20 dice rolled. The binomial distribution finds applications in things such as predicting outcomes from elections, in gambling, and even on the game "Plinko" on the television game show "The Price Is Right"
How Is The Binomial Theorem Explained In This Book?This book walks through how the binomial distribution works in a step by step fashion, starting with some simple flips of a coin, and building up to examples that have uneven probability, and examples where you need to calculate the binomial coefficient over a range of numbers. I.e. to calculate the odds of winning at least 51 hands of blackjack out of 100 played.
The first several examples are explained using Pascal's triangle, since it gives a good visualization of the probability of different binomial coefficients. Later problems give examples using the binomial equation, since it is more versatile.
Other Key Topics In This Book Multinomial Equation - If you need to calculate the probability distribution for more than two events, you need the multinomial distribution, not the binomial distributionThe Normal Approximation - The binomial distribution is great, but sometimes you need an answer with less calculation. This shows how to get a very good answer using the normal curve, provided you have a sufficient number of events
How Is The Binomial Theorem Explained In This Book?This book walks through how the binomial distribution works in a step by step fashion, starting with some simple flips of a coin, and building up to examples that have uneven probability, and examples where you need to calculate the binomial coefficient over a range of numbers. I.e. to calculate the odds of winning at least 51 hands of blackjack out of 100 played.
The first several examples are explained using Pascal's triangle, since it gives a good visualization of the probability of different binomial coefficients. Later problems give examples using the binomial equation, since it is more versatile.
Other Key Topics In This Book Multinomial Equation - If you need to calculate the probability distribution for more than two events, you need the multinomial distribution, not the binomial distributionThe Normal Approximation - The binomial distribution is great, but sometimes you need an answer with less calculation. This shows how to get a very good answer using the normal curve, provided you have a sufficient number of events
- GenresMathematics
70 pages, Kindle Edition
Published January 5, 2017
126 people are currently reading
43 people want to read
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Displaying 1 - 3 of 3 reviews
August 18, 2018
Excellent overview of the binomial distribution
I am always interested in reviewing subjects that I have studied in the past in an effort to deepen my understanding and intuitive feel for the subject matter. This is best done with a concise book that uses great examples to simplify the subject matter. This book does just that. To write a book that simplifies the material and expands the intuition of the reader requires an author that has a deep knowledge of the material. Scott Hartshorn demonstrates that he has such knowledge and a great capacity for sharing it.
I am always interested in reviewing subjects that I have studied in the past in an effort to deepen my understanding and intuitive feel for the subject matter. This is best done with a concise book that uses great examples to simplify the subject matter. This book does just that. To write a book that simplifies the material and expands the intuition of the reader requires an author that has a deep knowledge of the material. Scott Hartshorn demonstrates that he has such knowledge and a great capacity for sharing it.
October 26, 2019
Concept building
If scoring in exam is not just u look for, then its worth reading once. The idea why the formulae is how it is? - gives the insight how to think combinatorically.
Which distributions to choose when and why?
What they means and why they look like so? - is explained with clarity with a different perspective
If scoring in exam is not just u look for, then its worth reading once. The idea why the formulae is how it is? - gives the insight how to think combinatorically.
Which distributions to choose when and why?
What they means and why they look like so? - is explained with clarity with a different perspective
August 4, 2018
Nicely Done
I dabble in statistics professionally and personality. This is a good simple discussion of the binomial theorem and it's application.
I dabble in statistics professionally and personality. This is a good simple discussion of the binomial theorem and it's application.
Displaying 1 - 3 of 3 reviews