4. This problem has two parts a. ( 5 points) The CDF of an exponential distribution model with a rate of is given by F(x)=1ex,x0. What is the inverse CDF? You must show the steps to derive the inverse CDF to receive full credit. b. (5 points) The sample mean of the data set is 2.5 minutes. Use the inverse CDF procedure to generate a random variate from the exponential distribution model fit to the data set. We generate one random number from the Uniform (0,1) distribution and suppose it is U=0.3. Use this value in the calculation. You need to show the intermediate steps to receive full credit