Consider a fair 4-sided die and a coin with sides labeled 1 and 2. Let represent the sum obtained from rolling the die and flipping the coin. a. Show the probability distribution of in one of the two proper forms taught in lecture. b. When I roll the die and flip the coin, what is the probability of getting a 2 on the die, on the coin, or both? c. Calculate the standard deviation of this distribution by hand, correct to 4 decimal places. d. If you roll the die and flip the coin 16 times, what is the probability of getting a sum of 5 exactly seven times?