Math and Arithmetic

Statistics

Probability

Numerical Series Expansion

# Is the Poisson probability distribution discrete or continuous?

## Answer

###### Wiki User

###### 06/05/2009

The Poisson distribution is discrete.

## Related Questions

###### Asked in Statistics, Probability

### The binomial and Poisson distributions are examples of discrete probability distributions?

discrete & continuous

Read More

###### Asked in Statistics, Probability, Numerical Series Expansion

### 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.
...

Read More

###### Asked in Software and Applications (non-game), Statistics

### What are some examples of distribution function?

I will assume that you are asking about probability distribution
functions. There are two types: discrete and continuous. Some might
argue that a third type exists, which is a mix of discrete and
continuous distributions.
When representing discrete random variables, the probability
distribution is probability mass function or "pmf." For continuous
distributions, the theoretical distribution is the probability
density function or "pdf."
Some textbooks will call pmf's as discrete probability
distributions.
Common pmf's are binomial, multinomial, uniform discrete and
Poisson.
Common pdf's are the uniform, normal, log-normal,...

Read More

###### Asked in Statistics, Probability

### 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).
...

Read More

###### Asked in Math and Arithmetic, Statistics, Numerical Series Expansion

### 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.
...

Read More

###### Asked in Math and Arithmetic, Statistics, Numerical Series Expansion

### Poisson distribution the mean and standard deviation?

The Poisson distribution is a discrete distribution, with random
variable k, related to the number events. The discrete probability
function (probability mass function) is given as: f(k; L) where L
(lambda) is the mean and square root of lambda is the standard
deviation, as given in the link below:
http://en.wikipedia.org/wiki/Poisson_distribution
...

Read More

###### Asked in Statistics, Probability, Numerical Series Expansion

### 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.
...

Read More

###### Asked in Math and Arithmetic, Statistics, Algebra, Numerical Series Expansion

### What are the properties of poisson distribution?

It is a discrete distribution in which the men and variance have
the same value.
...

Read More

###### Asked in Probability

### A complete probability distribution is always an objective listing of all possible events Since it is impossible to list all the possible outcomes from a single event probability distributions are o?

Your question is not clear, but I will attempt to interpret it
as best I can. When you first learn about probability, you are
taught to list out the possible outcomes. If all outcomes are
equally probable, then the probability is easy to calculate.
Probability distributions are functions which provide probabilities
of events or outcomes. A probability distribution may be discrete
or continuous. The range of both must cover all possible outcomes.
In the discrete distribution, the sum of probabilities must add...

Read More

###### Asked in Statistics, Probability, Numerical Series Expansion

### 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...

Read More

###### Asked in Math and Arithmetic, Statistics, Probability

### Which distribution is used to find probabilities about the number of independent events occurring in a fixed time period with a known average rate?

The Poisson distribution.
The Poisson distribution.
The Poisson distribution.
The Poisson distribution....

Read More

###### Asked in Math and Arithmetic, Statistics, Probability, Numerical Series Expansion

### 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.
...

Read More

###### Asked in Math and Arithmetic, Statistics

### How do the highest and lowest possible values for the variable compare in their probability of occurring to the values in the middle of the distribution?

The answer will depend on the skewness of the distribution.
The Poisson distribution is defined for non-negative integers:
0, 1, 2, 3, 4 etc. So the lowest value is 0.
For a Poisson distribution with parameter l=1 (when it is very
skew), the probability of the lowest two values, 0 and 1, is 0.368
each and the probability tails off rapidly for higher values.
The answer will depend on the skewness of the distribution.
The Poisson distribution is defined for non-negative integers:
0,...

Read More

###### Asked in Math and Arithmetic, Statistics, Probability

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

we compute it by using their differences

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

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

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

Read More

###### Asked in Statistics, Probability, Numerical Series Expansion

### What is the Probability density function of Poisson distribution?

If a random variable X has a Poisson distribution with parameter
l, then the probability that X takes the value x is
Pr(X = x) = lx*e-l/x! for x = 0, 1, 2, 3,
...
...

Read More

###### Asked in Statistics

### How do you differentiate a Poisson distribution and a binomial one in a level qns?

The Poisson distribution is characterised by a rate (over time
or space) of an event occurring. In a binomial distribution the
probability is that of a single event (outcome) occurring in a
repeated set of trials.
...

Read More

###### Asked in Math and Arithmetic, Statistics, Probability

### What does probalility distribution mean?

In parametric statistical analysis we always have some
probability distributions such as Normal, Binomial, Poisson uniform
etc.
In statistics we always work with data. So Probability
distribution means "from which distribution the data are?
...

Read More

###### Asked in Probability

### What are two requirements for a discrete probability distribution?

Not sure about only two requirements. I would say all of the
following:
there is a finite (or countably infinite) number of mutually
exclusive outcomes possible,
the probability of each outcome is a number between 0 and
1,
the sum of the probabilities over all possible outcomes is
1.
The Poisson distribution, for example, is countably
infinite.
...

Read More

###### Asked in Statistics

### What are the requirements for Poisson distribution?

Independent events with a constant probability of occurrence
over a fixed interval of time (or space).
...

Read More

###### Asked in Statistics, Probability, Numerical Series Expansion

### Why belong exponential family for poisson distribution or geometric distribution?

Why belong exponential family for
poisson distribution

Read More

###### Asked in Math and Arithmetic, Statistics, Probability

### Should you use the Binomial Normal or Poisson distribution if in the past few years an average of 10 businesses closed and I want to find the probability of more than 10 businesses closing next year?

If this is the only information that you have then you must use
the Poisson distribution.
...

Read More

###### Asked in Authors, Poets, and Playwrights

### What has the author Shui Feng written?

Shui Feng has written:
'The Poisson-Dirichlet distribution and related topics' --
subject(s): Poisson distribution, Wahrscheinlichkeitsverteilung,
Poisson-Prozess
...

Read More

###### Asked in Chemistry, Statistics

### Whose distribution belong exponential family?

Poisson distribution or geometric distribution

Read More

###### Asked in Math and Arithmetic, Statistics

### Which distribution function has equal mean and variance?

The exponential distribution and the Poisson distribution.

Read More