Exercise 4 Let X1,X2, ...,X,,, its\"! m), where f(m)=e_2z0, m>0, B>0. a. (1 pt) Find an expression for the maximum likelihood estimator of ('9, 5, and show all your work. b. (05 pt) Suppose we obtain the following sample of size n : 5 from this distribution: {4, 2.5, 6, 5, 3}. Use these data points to calculate a value of the maximum likelihood estimate of (9. Exercise 5 (Use R) (1 pt) Using the 5 data points from the previous exercise, use R to plot the likelihood function as a function of 6. Show your code and plot. . xaxis: 9 from 0 to 12 in intervals of 0.5 - yaxis: likelihood, Either the Likelihood function 12(6) or the log likelihood function ln[L(6)] )] Hint: Make a sequence for 'theta' in R. Then make a function or expression in terms of theta and run that. Be sure both vectors are assigned to a name, and plot these two named vectors