WORKBOOK ASSIGNMENT 2: M5": PROBABILITIES AND VISUALIZATIOHS [2) For each of the distributions below, please provide the requested graphics as well as the numeric results. In both cases. please provide how you realized these (calculations. code. steps...] and why it is the appropriate tools. Do not forget to include the scale of each graphics so a reader can read the numbers represented. a} Consider the variables X and Y. The realization of a sample of size 20 is given below [where X is the rst variable and Y is the second): (-1.202. 563.0 24}. (2.112. 291.0?2]. {2.02 i". -093.619).{-0.314.1 321.314}. (-1.401 -01.5?3}. (- 6.5 10, 445.335}. (- 0.920, -1 11.40 7'}. {3.41\"}, -153.155}. (1258. 10?5.221]. {2.251. 4??.93 1}. ( 0.?13. 009.695}. (- 0.85 3. 226.055}. (-3.1?6. 309.413}. (1.913. 4-1160]. (-1.0 0'0. -1?0.695}. (-3.305. Mamas). (-0.500, 362.6 T0}. (-1004, 364.5 7'0}. (0.504. 324.0?5). {2.361, -300.5?1} Sketch an appropriate plot that displays the values of these points. Calculate the sample covariance as well as the sample's expectations and variances of X and l'. b} Consider that a ball is thrown with a random angle 3 E [0.300) {in degrees} and a random radius r e [0.1] (in meters} both independent and uniform. Calculate the density:r of the variables X and 1' {the cartesian coordinates of the point at angle 0 and radius r] as well as their expectation and variance