Question 34 Not yet answered Marked out of 3.00 V Flag question This is a "show work" question. What you are calculating using the notation used in class, the intermediate work and final answer must be given. Assumptions made must also be given if any. Demonstrate as much of what you know as you can to maximize your points. There are two types of workers in an office: 'IO administrative assistants and 5 fund managers. Two workers will be chosen randomly to represent the office on the board of directors and at the town's city hall, one worker to each place. Let A be the the event that two fund managers are chosen. (a) A random sample is a sample without replacement. So calculate the probability of A under this assumption. Indicate before you calculate the probability what the value of M (the population size) is in this problem. (b) Suppose now that we sample with replacement. Calculate the probability of A under this assumption. (c) In which of the two parts above (a) or {b} or both was the product rule for independent events used? What allowed us to use that rule? If in one of them you did not use that rule' what rule did you use to calculate the probability? Do not attach any files or give links. Write the answer in the space provided