Read on Twitter
As I said, I'm going to be talking about Probabilities for a while
Let's start with something easy: the Bernoulli Trial
https://twitter.com/josejorgexl/status/1358966336253165568
Let's start with something easy: the Bernoulli Trial
https://twitter.com/josejorgexl/status/1358966336253165568
A Bernoulli trial is an experiment with two possible outcomes
We will call them outcome 0 and outcome 1
The probability of getting outcome 1 is p and the probability of getting outcome 0 is q = 1 - p
Easy right?
We will call them outcome 0 and outcome 1
The probability of getting outcome 1 is p and the probability of getting outcome 0 is q = 1 - p
Easy right?
We calculate the odds of getting outcome 1 as p/q. This quantity measures how many 1's you get for every 0 if you repeat the experiment many times
For example, if p = 0.8 and hence, q = 0.2 the odds of getting 1 are 4
Thus, you expect to get 4 times more 1's than 0's
For example, if p = 0.8 and hence, q = 0.2 the odds of getting 1 are 4
Thus, you expect to get 4 times more 1's than 0's
Where does that name come from?
Well, the Bernoulli was a numerous family of great mathematicians. Just one of them would be enough to write that name in the history of Math (in boldface)
But the name of this Probability function comes specifically from Jack Bernoulli
Well, the Bernoulli was a numerous family of great mathematicians. Just one of them would be enough to write that name in the history of Math (in boldface)
But the name of this Probability function comes specifically from Jack Bernoulli
He wrote a book named Ars Conjectandi in1689, where he systematized many notions on Combinatorics and Probabilities
The book is considered the founding work in mathematical probability
Although some mathematicians had written about it before
The book is considered the founding work in mathematical probability
Although some mathematicians had written about it before
The Ars Conjectandi also shows the analysis of the Binomial distribution
This is the distribution of the number of successes (1's) in a sequence of n Bernoulli trials
For example, the distribution of the number of heads we get when flipping a coin n times
This is the distribution of the number of successes (1's) in a sequence of n Bernoulli trials
For example, the distribution of the number of heads we get when flipping a coin n times
This is it!
Hope you have enjoyed this short tour through the Bernoulli distribution
The next one will be about the Geometric distribution. We'll see how it is related to the Bernoulli trial, and other interesting facts
Stay tuned!
Hope you have enjoyed this short tour through the Bernoulli distribution
The next one will be about the Geometric distribution. We'll see how it is related to the Bernoulli trial, and other interesting facts
Stay tuned!
