By applying the R-function replicate() generate $10$ samples from an exponential distribution with a rate parameter $0.2$ and sum them together. Do this sum 10000 times and make a histogram of the simulation. Can you say something about the distribution?
So I did this task and observed that the median is $\approx 50=10/0.2$ but I don't know what I could say about the distribution. I know that the sum of independent exponentially distributed random variables with same rate is gamma distributed. Is this the answer to the question?
1.96*sd(s)/dqrt(m)
to provide an accurate 95% margin of simulation error for $\mu_S.$ $\endgroup$