QUESTION 1 [14 marks] Let x) be the probability mass function {PMF) of random variable X. (a) Plot the graph of x) in R. Save the graph and insert it to this Word document named as "YourFuHName.docx". Add the caption to the figure of the graph. (b) The cumulative distribution function (CDF) of X is Pi X) :13ng X } Complete the following table. "II"- (c) Hence plot the graph of F(x) in R. Save the graph and insert it to the WOId document "YourFuHName.docx". Add the caption to the figure of the graph. (d) Find E 'X I, the expected value of X. (e) Find E Dig], the expected value of X2 . ( Find a, the standard deviation of X