## Which formula could be used to calculate the expectation for a hypergeometric distribution?

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The expected value formula is very similar to the binomial result E(X)=np, in that the factor sN is the probability that the first trial will result in a success.

## What are the parameters of hypergeometric distribution?

The hypergeometric distribution has three parameters that have direct physical interpretations. M is the size of the population. K is the number of items with the desired characteristic in the population. n is the number of samples drawn.

**What is MGF of hypergeometric distribution?**

The MGF E[euX] of a hypergeometric distribution X with parameters N,n,m is less than or equal to the MGF E[euY] of a binomial distribution Y with the same mean.

**What is the expectation of a hypergeometric distribution?**

= n k E[X]=n∑x=0x(Kx)(M−Kn−x)(Mn). [ X ] = ∑ x = 0 n x E[X]=n∑x=1x(Kx)(M−Kn−x)(Mn)….proof of expected value of the hypergeometric distribution.

Title | proof of expected value of the hypergeometric distribution |
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Classification | msc 62E15 |

### What is the CDF of hypergeometric distribution?

The CDF function for the hypergeometric distribution returns the probability that an observation from an extended hypergeometric distribution, with population size N, number of items R, sample size n, and odds ratio o, is less than or equal to x.

### Is hypergeometric independent?

Both describe the number of times a particular event occurs in a fixed number of trials. However, binomial distribution trials are independent, while hypergeometric distribution trials change the success rate for each subsequent trial and are called “trials without replacement”.

**Is hypergeometric with or without replacement?**

Note that one of the key features of the hypergeometric distribution is that it is associated with sampling without replacement.

**Is hypergeometric distribution symmetric?**

Properties of Hypergeometric Distribution Hypergeometric distribution is symmetric if p=1/2; positively skewed if p<1/2; negatively skewed if p>1/2. The mean of the hypergeometric distribution concides with the mean of the binomial distribution if M/N=p.