MBA662 HW4 Dr. Nuo Xu 1. Let us define a random variable Y as the sum of number of dots from tossing two fair dice. For example, if we roll a 2 and a 3, then Y=5. a) Tabulate the probability distribution and cumulative distribution of Y. b) Graph them. c) Calculate the Expectation of Y. (Hints: you should enumerate all the possible outcomes of tossing two dice, shown below, in order to 1) identify the set of values that Y can take on and 2) figure out the probability associated with each value.) number rolled from the first die number rolled from the second die 1 2 3 4 5 6 1 2 3 4 5 6 2. Let us define another random variable Z as the higher number of dots of the two dice. For example, if we roll a 2 and 3, then Z=3; if we roll 2 and 6, then Z=6; if we roll 5 and 5, then Z=5. a) Tabulate the probability distribution and cumulative distribution for Z. b) Graph them. c) Calculate the Expectation of Z