0
If X and Y are i.i.d Poisson variables with lambda1 and lambda2 then,
P (X = x | X + Y = n) ~ Bin(n, p) where p = lambda1 / lambda1 + lambda2
Wiki User
∙ 14y ago
The Poisson distribution is a limiting case of the binomial distribution when the number of trials is very large and the probability of success is very small. The Poisson distribution is used to model the number of occurrences of rare events in a fixed interval of time or space, while the binomial distribution is used to model the number of successful outcomes in a fixed number of trials.
Add your answer:
Earn +20 pts
What is difference between skew binomial and symmetric binomial distribution?
In a symmetric binomial distribution, the probabilities of success and failure are equal, resulting in a symmetric shape of the distribution. In a skewed binomial distribution, the probabilities of success and failure are not equal, leading to an asymmetric shape where the distribution is stretched towards one side.
What is physical significance of poisson's equation?
Poisson's equation relates the distribution of electric charge to the resulting electric field in a given region of space. It is a fundamental equation in electrostatics that helps to determine the electric potential and field in various situations, such as around point charges or within conductors. Mathematically, it represents the balance between the charge distribution and the electric field that it produces.
Assumptions of binimial distribution?
The assumptions of the binomial distribution are that there are a fixed number of independent trials, each trial has two possible outcomes (success or failure), the probability of success is constant across all trials, and the outcomes of each trial are independent of each other.
How would you describe a goldfish in french?
the french call a goldfish "un poisson rouge" - a red fish. desription could maybe be: un poisson rouge est un animal domestique qui habite dans un petit aquarium dans la maison
In binomial nomenclature the genus functions as what?
In binomial nomenclature, the genus represents the first part of the scientific name and groups together species that are closely related and share certain characteristics. It is a level of classification above species and below family.
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 kind of distributions are the binomial and poisson distribution?
Discrete
How can you approximate a binomial distribution to a poison distribution when the number of binomial trials became large enough?
The Poisson distribution with parameter np will be a good approximation for the binomial distribution with parameters n and p when n is large and p is small. For more details See related link below
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 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.
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.
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.
What is a frequency distribution defined by its average and standard deviation?
The triangular, uniform, binomial, Poisson, geometric, exponential and Gaussian distributions are some that can be so defined. In fact, the Poisson and exponential need only the mean.
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.
Is the Poisson probability distribution discrete or continuous?
The Poisson distribution is discrete.
If X has Poisson distribution does aX plus b have Poisson Distribution?
Yes.
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?
