Find the sampling distribution of Y for the following population distributions: iid (a) Y... Y~ Poisson(X);...

 

Transcribed Image Text:

Find the sampling distribution of Y for the following population distributions: iid (a) Y₁... Y~ Poisson(X); iid ~ (b) Y₁,..., Yn exponential(0); iid (c) Y₁,..., Y, Bernoulli(p) (find instead the distribution of ny). (d) For each of the parts above, notice that there is a relationship between the mean and variance. Calculate the ratio vary in each case. Which has the greatest variance relative to the mean? Find the sampling distribution of Y for the following population distributions: iid (a) Y₁... Y~ Poisson(X); iid ~ (b) Y₁,..., Yn exponential(0); iid (c) Y₁,..., Y, Bernoulli(p) (find instead the distribution of ny). (d) For each of the parts above, notice that there is a relationship between the mean and variance. Calculate the ratio vary in each case. Which has the greatest variance relative to the mean?