Statistics : probability distributions and real world examples.

Statistics ... my joy and my cry.

I needed many hours of study to master the concepts behind it. Even now, after many years of using it on an everyday basis, I should (sometimes) go and double check before I write down the results.

However, Statistics is beautiful and a book I recommend you to read is "How to lie with statistics" that can be bought on Amazon https://www.amazon.it/dp/B00351DSX2/ref=dp-kindle-redirect?_encoding=UTF8&btkr=1

Today I want to write about probability distributions and what are some of the most used distributions with real-world examples.

Let's start.

Uniform distribution

Used to distribute probability equally over all possible outcomes (discrete) or equal ranges of outcomes (continuous). This distribution is especially useful in virtual experiments or simulations to explore real‐world phenomena.

Binomial distribution

Model the number of successes that can occur in a certain number of attempts when only two outcomes are possible (heads‐or‐tails coin‐flip, for example).

Poisson distribution

The Poisson (discrete) and exponential (continuous) distributions complement one another. Say that there is a crossroad in your area that has a lot of accidents. A Poisson distribution answers the question, “What is the probability that such‐and‐such number of accidents will occur there within a month?” And an exponential distribution answers the question, “What is the probability that the time until the next accident is a such‐and‐such length of time?”

Normal distribution or the bell curve.

These distributions model phenomena that tend toward some most likely value (the top of the bell in the bell curve) with values at the two extremes becoming less likely.

Schermata 2017-09-18 alle 15.40.59.png
Source Wikipedia :

Gama distribution

You can use it to make predictions. For example, you can make use of it for predicting time-to-failure of a machinery or device in an industrial context.

That's it for today on statistics. I plan to post more about it soon so have a nice afternoon.

P.S.
I already wrote about statistics here https://steemit.com/applicationsofstatistics/@alketcecaj/can-you-give-an-example-in-which-you-used-statistics-for-solving-a-real-problem

and here https://steemit.com/inferentialstatistics/@alketcecaj/how-do-i-understand-type-i-error-and-type-ii-error-when-talking-about-hypothesis

As cheetah pointed out I'm the original poster on Quora as you can see here : https://www.quora.com/What-are-probability-distributions-used-for/answer/Alket-Cecaj

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