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Exercise 3 (5 + 5 pts.). Conditional Distributions 8 Concentration Inequalities. Let X be the number of shes that I sh every day. Assume that X N Poisson()\\). Each sh that I sh is a salmon with probability 0.3, a tuna with probability 0.4, a swordsh with probability 0.2 and a carp with probability 0.1. 1. Are the numbers of salmons, tunas, swordshes and carps that I sh every day independent? 2. Using some concentration inequality, give an upper bound on the probability that I sh at least 5 salmons given that the total number of sh that I get is on average 10 (you can admit that the number of salmons is distributed as Poisson()\\p1)). Make sure that you obtain the best possible bound from the dierent concentration inequalities that you know