Let X be'the nuinber of shes that I sh every day. Assume that X r; Poisson[A). 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 salmonsJ tunes, 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 If} {you can admit that the number of salmons is distributed as PoissonUtp). Make sure that you obtain the best possible bound from the different concentration inequalities that you know. --. . . ax... . r. . . . x n .... . n. . ,. .. .1. 1r . n .. n