I need you to solve Question 2 (4.42)

Q2 4.42. Find the mean and variance of Z, the minimum of the coordinates in a square, in Problem 4.20.4.20. (a) Find and plot the pdf of the random variable Z in Problem 4.7. (b) Use the pdf to find the probability that the minimum is greater than b/3.4.7. A point is selected at random inside a square defined by {(x, y): 0 s x s b, 0 s y s b). Assume the point is equally likely to fall anywhere in the square. Let the random variable Z be given by the minimum of the two coordinates of the point where the dart lands, (a) Find the sample space S and the sample space of Z. Sz