A. Write a program that produces a plot of the Geometric Distribution as a function of the number of Bernoulli trials for the first success to occur, for which the distribution gives the probability. The following instructions are given for MATLAB. See the HW08 description for details on the many options to access MATLAB. Make a copy of the BinomialdistPlot.m file from HW08 and rename the function and filename to be GeoDistPlot.m. The first argument of the function is now maxn, which is the maximum number of trials to consider and plot. Then, rewrite the code inside the for loop where probabilities are calculated. As before, use the bar function to produce a histogram of the entire distribution up to maxn for the given parameter p. The axis function can then be used to change the bounds of the visible axes, along with other formatting fixes. i. Run your program [ > GeoDistplot (20,0,3) from the command line] to produce the Geometric Distribution for p=0.3, up to x=20. Calculate the mean, variance, and standard deviation for the distribution. Submit the distribution plot with the mean clearly labeled. Additionally, identify the region of the distribution within one standard deviation of the mean. ii. Notice in your plot from part (i) that the probabilities decrease with increasing x. Use your program to search for a value of p where the probabilities increase with increasing x. Are you able to find a valid value of P that produces this type of distribution? If so, submit a plot of the distribution. If not, briefly explain why it is impossible. A. Write a program that produces a plot of the Geometric Distribution as a function of the number of Bernoulli trials for the first success to occur, for which the distribution gives the probability. The following instructions are given for MATLAB. See the HW08 description for details on the many options to access MATLAB. Make a copy of the BinomialdistPlot.m file from HW08 and rename the function and filename to be GeoDistPlot.m. The first argument of the function is now maxn, which is the maximum number of trials to consider and plot. Then, rewrite the code inside the for loop where probabilities are calculated. As before, use the bar function to produce a histogram of the entire distribution up to maxn for the given parameter p. The axis function can then be used to change the bounds of the visible axes, along with other formatting fixes. i. Run your program [ > GeoDistplot (20,0,3) from the command line] to produce the Geometric Distribution for p=0.3, up to x=20. Calculate the mean, variance, and standard deviation for the distribution. Submit the distribution plot with the mean clearly labeled. Additionally, identify the region of the distribution within one standard deviation of the mean. ii. Notice in your plot from part (i) that the probabilities decrease with increasing x. Use your program to search for a value of p where the probabilities increase with increasing x. Are you able to find a valid value of P that produces this type of distribution? If so, submit a plot of the distribution. If not, briefly explain why it is impossible