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Geometric Distribution refers to the probability of the number of times needed to do something until getting a desired resul ...stribution]], the Geometric distribution has one controling parameter: The probability of success in any independent test. ...

== Probability Mass Function of a Discrete Random Variable == ...mass function''' ''f(x)'' (PMF) of ''X'' is a function that determines the probability in terms of the input variable ''x'', which is a discrete '''random variabl ...

== Probability == ...rk to explain random phenomena in the context of an Electrical Engineering book on signals. ...

[[Probability|Index]] In some situations we need a new kind of probability. ...

=Notions of Probability Theory= ...f the book. The interested reader is referred to more thorough accounts of probability theory. ...

...sults from previous studies, or a general agreed-upon starting value for a probability. The terminology "Bayesian" comes from the Bayesian rule or law, a law abou ...less likely that the coin is coin number 1. We calculate the a posteriori probability that the coin is coin number 1, as: ...

...to a single event which can have one of two possible outcomes with a fixed probability of each occurring. You can describe these events as "yes or no" questions. ...or an experiment where success and failure are equally likely will have a probability of 0.5 (50%). Typically the variable ''p'' is used to represent this parame ...

...ndom variable that does not have any points at which there is any distinct probability that the variable will be the corresponding number. ==Probability Distribution Function== ...

[[Probability|Index]] ...pler mathematical formalism. We shall proceed by developing the concept of probability space, which will allow us to harness many theorems in mathematical analysi ...

The Negative Binomial distribution refers to the probability of the number of times needed to do something until achieving a fixed numbe ...ibution with parameters p and m, its [[Wikipedia:probability mass function|probability mass function]] is: ...

...random variable has a cumulative distribution function that describes the probability that the random variable is below the point. The cumulative distribution mu ==Probability Mass Function== ...

[[Probability|Index]] Formally, a ''random variable'' on a probability space <math>(\Omega,\Sigma,P)</math> is a measurable real function ''X'' de ...

[[Image:Dices1-6.png|250px|right|thumb|When throwing two dice, what is the probability that their sum equals seven?]] == Introduction to probability == ...

...ernoulli trials. We conduct <math>n</math> repeated experiments where the probability of success is given by the parameter <math>p</math> and add up the number o ...math> and <math>n</math> we write it as X ~ Bin(n,p) or X ~ B(n,p) and the probability mass function is given by the equation: ...

[[Probability|Index]] [[Probability]] theory mathematically formulates incomplete knowledge pertaining to the l ...

...average or expected" number of events to happen within our experiment. The probability mass function of the Poisson is given by ...If we only have the ingredients to prepare 3 of these dishes, what is the probability that it will get sold out and we'll have to turn some orders away? ...

====Convergence in Probability==== ...a very useful tool for deriving asymptotic distributions later on in this book. Alongside convergence in distribution it will be the most commonly seen mo ...

...of a given size. For example for a uniform distribution from 0 to 10, the probability of picking a real number between 1 and 2 is 1/10, the same as for picking a This simple distribution forms the basis of much of the study of probability. It mirrors the type of activity observed from rolling a fair dice, or flip ...

A continuous random variable , X, is normally distributed with a probability density function : [[Category:Statistics (book)]] ...

...te extensively, and many of which map very well to natural phenomina. This book will attempt to cover some of the most basic and most common distributions. ...that finds the area under a part of the gaussian curve (and therefore the probability of an event under that portion of the curve) is known as the Q function, an ...