a. Generate 100 random variates from an exponential distribution with a rate parameter 1 (in Excel). By using input analyzer, fit a distribution to data, perform hypothesis tests, find the best distribution according to the quality of the fit and the simplicity.
b. Generate 100 random variates from an Erlang distribution with a shape parameter 2 and rate parameter 1 (in Excel) by using the convolution method. (Hint: remember the relation between Erlang and exponential distributions). By using input analyzer, fit a distribution to data, perform hypothesis tests, find the best distribution according to the quality of the fit and the simplicity.