3. This problem is about generating geometric random variable: (25%) X = [0.22, 0.21, 0.61, 0.91, 0.81, 0.05, 0.68, 0.95, 0.84, 0.85, 0.17, 0.63, 0.3, 0.78, 0.23, 0.45, 0.04, 0.66, 0.5, 0.76] X, 20 samples, is generated from uniform distribution. Construct geometric random variable Y, with parameter = 0.2, from X based on (a) inverse CDF method, (b) linear sampling and (c) convolution method. You need to show (1) your Python programs and (ii) results of Y of all three methods. 3. This problem is about generating geometric random variable: (25%) X = [0.22, 0.21, 0.61, 0.91, 0.81, 0.05, 0.68, 0.95, 0.84, 0.85, 0.17, 0.63, 0.3, 0.78, 0.23, 0.45, 0.04, 0.66, 0.5, 0.76] X, 20 samples, is generated from uniform distribution. Construct geometric random variable Y, with parameter = 0.2, from X based on (a) inverse CDF method, (b) linear sampling and (c) convolution method. You need to show (1) your Python programs and (ii) results of Y of all three methods