Content Bb 21167170 Bb 21101569 Remote Desktop Web Client X * Dropbox - Coursehero-347716 x C learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5cc71db6522fe/21167170?X-Blackboard-Expiration=1635228000000&X-Blackboard-Signature=eksL... To 21167170 2 / 5 100% + 2 (2) Let m be a fixed non-negative number and let M ~ Pois(m). Conditioned on M, place M letters uniformly and independently at random into n boxes. Let X; be the number of letters in box i. 1) Using the Law of Total Expectation, compute EX1. 2) Using the Law of Total Expectation, compute var X1. 3) Using the Law of Total Expectation, compute Pr[X1 = 0]. 4) Are the events { X1 = 0} and {X2 = 0} independent? 2 3