# 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.

### 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.

### 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.

### 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 is poisson distribution related to binomial distribution?

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

### 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.

### 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.

### 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 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?

### 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

### State a condition under which the binomial distribution can be approximated by poisson distribution?

Because "n" is very large and "p" is very small. where "n'' indicates the fixed number of item. And ''p'' indicates the fixed number of probability from trial to trial.

### What are mean and variance of negative binomial distribution by conclusion?

what is meant by a negative binomial distribution what is meant by a negative binomial 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.

### What are uses of binomial distribution in psychology?

what are the uses of binomial distribution

### 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

### Why binomial distribution can be approximated by Poisson distribution?

Only in certain circumstances: The probability of success, p, in each trial must be close to 0. Then, for the random variable, X = number of successes in n trials, the mean is np and the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np. That is, the mean of the distribution is close to its variance. This is a characteristic of… Read More

### Can you use the formulas for a probability distribution to calculate parameters for a binomial probability distribution or can you just use the given formulas for a binomial probability distribution?

This depends on what information you have. If you know the success probability and the total number of observations, you can use the given formulas. Most of the time, this is the case. If you have data or experience which allow you to estimate the parameters, it may sometimes happen that you work like this. This mostly happens when n is very large and p very small which results in an approximation with the Poisson… Read More

### How do you use binomial probability to assess if an outbreak of an illness has occurred or not?

If the illness is infectious then you cannot use the binomial distribution because the incidences of illness are no longer independent events, so that the assumptions required for the binomial distribution are not satisfied. Suppose the illness is not infectious and the "normal" rate of illnesses is p. Then in a group of size n, the number of units suffering has a B(n, p) distribution. You can then determine a critical region at an appropriate… Read More

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

The exponential distribution and the Poisson distribution.

### What is difference between skew binomial and symmetric binomial distribution?

The skew binomial distribution arises when the probability of a particular event is not a half.

### Distinguish between binomial distribution and normal distribution?

Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.

### Why is it necessary to use a continuity correction when using a normal distribution to approximate a binomial distribution?

It is necessary to use a continuity correction when using a normal distribution to approximate a binomial distribution because the normal distribution contains real observations, while the binomial distribution contains integer observations.

### What is relation between binomial multinomial hypergeometric and poisson probability?

Lulla diference

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

discrete & continuous

### Given a Poisson distribution with mean equals 2 Find P x5?

Given a Poisson distribution with mean = 2. Find P(X < 5)

### What is the shape of the binomial probability distribution in rolling a die?

The distribution depends on what the variable is. If the key outcome is the number on the top of the die, the distribution in multinomial (6-valued), not binomial. If the key outcome is the number of primes, composite or neither, the distribution is trinomial. If the key outcome is the number of sixes, the distribution is binomial with unequal probabilities of success and failure. If the key outcome is odd or even the distribution is… Read More

### What is the Test for normal distribution?

Normal Distribution is a key to Statistics. It is a limiting case of Binomial and Poisson distribution also. Central limit theorem converts random variable to normal random variable. Also central limit theorem tells us whether data items from a sample space lies in an interval at 1%, 5%, 10% siginificane level.

### Why is binomial distribution important?

Binomial distribution is the basis for the binomial test of statistical significance. It is frequently used to model the number of successes in a sequence of yes or no experiments.

### What are the properties of poisson distribution?

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

### What is the relationship between the binomial expansion and binomial distribution?

First i will explain the binomial expansion

### For the normal distribution does it always require a continuity correction?

Use the continuity correction when using the normal distribution to approximate a binomial distribution to take into account the binomial is a discrete distribution and the normal distribution is continuous.

### What is a binomial distribution?

The binomial distribution is one in which you have repeated trials of an experiment in which the outcomes of the experiment are independent, the probability of the outcome is constant. If there are n trials and the probability of "success" in each trail is p, then the probability of exactly r successes is (nCr)*p^r*(1-p)^(n-r) : <that would have been so much simpler if this crap browser allowed superscripts!> where nCr = n!/[r!*(n-r)!] and n! =… Read More

### The difference between an empirical distribution and a theoretical distribution?

Empirical Distribution: based on measurements that are actually taken on a variable. Theoretical Distribution: not constructed on measurements but rather by making assumptions and representing these assumptions mathematically.

### Is the binomial distribution is a continuous distribution?

No it is a "discrete" distribution because the outcomes can only be integers.

### What is normal binomial distribution?

There is no such thing. The Normal (or Gaussian) and Binomial are two distributions.

### Are the mean and standard deviation equal in a poisson distribution?

The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.

### The mean of a binomial probability distribution can be determined by multiplying?

The mean of a binomial probability distribution can be determined by multiplying the sample size times the probability of success.

### What is the single parameter in the binomial distribution and what sample statistic would be used to estimate it?

The binomial distribution is defined by two parameters so there is not THE SINGLE parameter.

### Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?

Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?

### What is the distribution of x with a mean of 21 days and a standard deviation of 8 days?

The distribution of x can be almost anything - apart from the Poisson distribution.

### How you induce the poisson distribution in normal queuing method?

I have no idea what you mean by inducing a distribution. If you assume that the number of events - people joining the queue - in a given time interval has a constant average rate and the the events are independent of one another, then arrivals in the queue follow a Poisson distribution.

### What are the properties of poisson distribution process?

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### What is the distribution of the sum of squared Poisson random variables?

You must pay for the answer

### 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… Read More

### 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… Read More