Let * follow an exponential distribution with rate parameter amp;* = 2. Let I follow a Poisson distribution with rate parameter^` = $. We...

This is a statistics question. We need to use RStudio to get the answer of this question. Therefore, this is actually an coding problem in R

Let * follow an exponential distribution with rate parameter &* = 2. Let I" follow a Poisson distributionwith rate parameter^` = $.We write sall I ; for the true standard deviation of I and mall"; for the true median of I".Let s _ he the sample standard deviation of I which is an estimate of sillly. Also let my he the samplemedian which is an Estimate of mill' ] .Suppose we take samples of size `= = 101 from* and take samples of size my = ]. Consider the statisticWhat is the ( sampling ; distribution of* ! We could ask a statistician who specializes in theary . Instead oflising mathematics . simulate* Good times and stare the results . Plot a histogram of the observed values ofAL . Comment on the shape of the histogram and empirical distribution of* . Before running your code , Set.the same seed used for the previous exercise . For full credit , do not use a For Long.