2. The Rotary Club of Kalamazoo holds an annual rubber duck race. Ducks are divided into one of four categories, C1, C2, C3, C4. Each duck is a member of only one of these groups, and each duck is placed into a group. Overall, there are 1000 ducks that are in the race. There are 200 ducks in the first category, 60 in the second category, 500 in the fourth category, and the remainder are in the third category. Elizabeth sponsors 450 out of the 1000 ducks for the race. We are interested in the probability that Elizabeth sponsors 90 from the first category, 25 from the second category, 225 from the fourth category, and the remainder of the 450 from the third category. Questions to Answer: (a) Show the setup / calculations required to find the probability required. No final answer needed. (b) Write R code to perform the calculations in the previous part. Provide your code and your final answer from R. You may hand-write your code. Provide the exact output from R: do not round your final answer.