(e) Suppose that the random variables X and Y are related by Y = 2 - 3X. What is the expected value of Y in terms of the expected value of X? What is the variance of Y in terms of the variance of X? (f) State the definition for two random variables X and Y to be statistically independent. State the definition for X and Y to be uncorrelated. Both definitions should be stated in equation form. (g) True or False: Uncorrelated implies statistical independence. (h) A colleague, who has not taken EEL4021, makes the following statement. "Suppose that you flip three fair coins. At least two of the coins will have the same side showing. Now the remaining coin has an equally likely probability of being heads or tails, and hence the remaining coin is just as likely to show the same side as the other two coins as it is the opposite side. Hence the probability that all three show the same side, i.e., HHH or TTT, is 1/2."