roblem 1:2.5 points. a The county squareland is a square of side length four kilometers. At the center of the county there is one hospital. An accident occurs within this square at a point which is uniformly distributed withing the county (i.e. its coordinates are independent continuous random variable taking values between -2 and 2.). The hospital sends out an ambulance. The road network is rectangular, so the travel distance from the hospital, whose coordinates are (0, 0), to the point (x, y) is |x| + |y|. Find the expected travel distance of the ambulance. b The neighbor county discland is a disc of radius 3km,with an hospital in its center. Again, an accident occurs at a random position in the disc. This county is richer and the hospital has an helicopter (which travels in straight line). Denote by (R,) [0, 3] [0, 2t] the polar coordinates of the accident (i.e. such that (RcosO, Rsin) are its Cartesian coordinates). The accident happens uniformly at random, meaning that the joint density of (R,) is gR.or, )= cr for some constant c. i. Compute c; ii. Compute the expected travel distance of the helicopter.