1. Consider the following 20 pseudo-random numbers (read from left to right):0.450.380.580.400.390.590.60 0.050.460.880.820.400.860.530.550.5 00.410.660.010.56(a) Use the first two numbers and the Box-Muller method to generate two observations fromthe normal distribution with mean1and standard deviation 3.(b) Use the first number to generate a realization from the geometric distribution withpD0:9.(c) Use the first 12 numbers and an approximate method to generate a realization from thestandard normal distribution.(d) Use as many numbers as you need (starting from the first one and going from left to rightand then down) to generate two independent observations from the Poisson distribution withD4.(e) Use the last two numbers to generate a realization from the triangular distribution withminimum value 0, maximum value 2, and mode 1.