6.104 During any particular week, the probability is 2 ("+) that an insurance agency receives n claims (n = 0, 1, ...). Furthermore, the numbers of claims received are independent from one week to the next. Determine the PMF of the total number of claims received in two consecutive weeks by using Proposition 6.19 on page 309. 6.105 In this exercise, you are asked to solve Exercise 6.104 without using Proposition 6.19, but by proceeding as follows. Let X and Y denote the number of claims received in weeks one and two, respectively. a) Identify the common PMF of X + 1 and Y + 1. b) Without doing any computations, use your result from part (a) to identify the PMF of the random variable X + Y + 2. c) Use your result from part (b) and Corollary 5.1 on page 247 to obtain the PMF of X + Y, the total number of claims received in two consecutive weeks