all of question 4, the code is not that important but would really appreciate if you guys can do it.

the denominator says 2theta

Exercise 4 (part c: use R) Let X1, X2, ..., Xn ~ f(x), where /(z) - ed, 120 030. a) (2 points) Find an expression for the maximum likelihood estimator of 0, 0. (by hand) b) (0.5 points) Suppose we obtain the following sample of size n - 4 from this distribution: {2, 3.5, 7, 1.5]. Use these data points to calculate a value of the maximum likelihood estimate of 0. c) (1 point) Using the 4 data points from 4(b), use R to plot the likelihood function as a function of 0. Show your code and plot. . x-axis: 0 from 0 to 10 . y-axis: likelihood, L(0) (or you may plot the log likelihood instead) Hint: Make a sequence for 'r' in R. Then make a function for the likelihood.Exercise 4 (part c: use R) Let X1, X2, ..., Xn ~f(x), where f (x) = e 20, I > 0, 0> 0. a) (2 points) Find an expression for the maximum likelihood estimator of 0, 0. (by hand) b) (0.5 points) Suppose we obtain the following sample of size n = 4 from this distribution: {2, 3.5, 7, 1.5 Use these data points to calculate a value of the maximum likelihood estimate of 0. c) (1 point) Using the 4 data points from 4(b), use R to plot the likelihood function as a function of Show your code and plot. . x-axis: 0 from 0 to 10 . y-axis: likelihood, L(0) (or you may plot the log likelihood instead) Hint: Make a sequence for 'r' in R. Then make a function for the likelihood