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Q: What is the difference between Geometric and a Poisson probability distribution?
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Is the Poisson probability distribution discrete or continuous?

The Poisson distribution is discrete.


Why belong exponential family for poisson distribution or geometric distribution?

Why belong exponential family for poisson distribution


What is the difference between poisson distribution and poisson process?

A poisson process is a non-deterministic process where events occur continuously and independently of each other. An example of a poisson process is the radioactive decay of radionuclides. A poisson distribution is a discrete probability distribution that represents the probability of events (having a poisson process) occurring in a certain period of time.


Whose distribution belong exponential family?

Poisson distribution or geometric distribution


Is the sample size in poisson probability distribution?

It can be.


What is the difference between poisson and binomial distribution?

Poisson and Binomial both the distribution are used for defining discrete events.You can tell that Poisson distribution is a subset of Binomial distribution. Binomial is the most preliminary distribution to encounter probability and statistical problems. On the other hand when any event occurs with a fixed time interval and having a fixed average rate then it is Poisson distribution.


What is the difference between the normal distribution and Poisson distribution?

The normal distribution is a continuous probability distribution that describes the distribution of real-valued random variables that are distributed around some mean value.The Poisson distribution is a discrete probability distribution that describes the distribution of the number of events that occur within repeated fixed time intervals, where the mean frequency is a known value, and each interval is independent of the prior interval(s)/event(s).


Relationship between Exponential and Poisson Distributions?

Poisson distribution shows the probability of a given number of events occurring in a fixed interval of time. Example; if average of 5 cars are passing through in 1 minute. probability of 4 cars passing can be calculated by using Poisson distribution. Exponential distribution shows the probability of waiting times between occurrences of events. If we use the same example; probability of a car coming in next 40 seconds can be calculated by using exponential distribution. -Poisson : probability of x times occurrence -Exponential : probability of waiting times between events.


What is the Assumptions for a Binomial distribution and Poisson?

For the binomial, it is independent trials and a constant probability of success in each trial.For the Poisson, it is that the probability of an event occurring in an interval (time or space) being constant and independent.


How many experimental outcomes are possible for the binomial and the Poisson distributions?

The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.


How do you compute the probability distribution of a function of two Poisson random variables?

we compute it by using their differences


What is the probability that a Poisson random variable x is equal to 5...?

It depends on the parameter - the mean of the distribution.