Cross Validated is a question and answer site for people interested in statistics, machine learning, data analysis, data mining, and data visualization. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. During an article revision the authors found, in average, 1. Assuming the errors happen randomly following a Poisson process, what is the probability of finding 5 errors in 3 consecutive pages?

632 Introduction to Stochastic Processes, Lecture 4

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Another useful probability distribution is the Poisson distribution, or waiting time distribution. This distribution is used to determine how many checkout clerks are needed to keep the waiting time in line to specified levels, how may telephone lines are needed to keep the system from overloading, and many other practical applications. A modification of the Poisson, the Pascal, invented nearly four centuries ago, is used today by telecommunications companies worldwide for load factors, satellite hookup levels and Internet capacity problems. The distribution gets its name from Simeon Poisson who presented it in as an extension of the binomial distribution which we will see can be estimated with the Poisson. A bank expects to receive six bad checks per day, on average. What is the probability of the bank getting fewer than five bad checks on any given day? Of interest is the number of checks the bank receives in one day, so the time interval of interest is one day.

Electrical Engineering 126: Probability & Random Processes

In probability , statistics and related fields, a Poisson point process is a type of random mathematical object that consists of points randomly located on a mathematical space. This point process has convenient mathematical properties, [2] which has led to it being frequently defined in Euclidean space and used as a mathematical model for seemingly random processes in numerous disciplines such as astronomy , [3] biology , [4] ecology , [5] geology , [6] seismology , [7] physics , [8] economics , [9] image processing , [10] and telecommunications. Its name derives from the fact that if a collection of random points in some space forms a Poisson process, then the number of points in a region of finite size is a random variable with a Poisson distribution.

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