Chapter 2: 2. The probability distribution of the sum of the points showing on a pair of dice is given by I-1 2 SIS7 P(1) 35 13-2 35 750 312 (a) Plot the probability function as a function of I. (b) Show that the probability distribution is normalized (hint: read the last sentence on page 31). (c) Find the mean of the distribution. (d) Find the standard deviation of the distribution. (e) Find the median of the distribution. (1) Similar to Figures 1.3 and 2.1, show where the mean, median, and mode lies and illustrate what the standard deviation means in your plot. and (1.14) We have to use numpy in python to solve the