how do you know that this is a poisson distribution even if the average is not given.
The variance could be adopted as an estimate of the mean of the hypothetical Poisson distribution.
what do you mean when you say hypothetical poisson distribution
The hypothetical Poisson distribution is the distribution that is put forward for testing by the\[\chi^{2}\] test.
how do the binomial and poisson variables link
First find the frequencies of the Poisson distribution with the same mean (or in this case the variance is used instead of the mean) and test the goodness of fit by the chi squared test. Given the observed frequencies, the expected frequencies are calculated on the hypothesis that the observed frequencies fit a Poisson distribution.
what is the "this"??
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