question c only

2. (36 points) You are a manager of a sales team. c There are 100 people who do sales for your team. 0 75% of them are hard working and 25% of them are lazy. 0 Hard working salespeople contact 1,000 potential clients each year. Lazy salespeople contact 800 potential clients each year. 0 Every time someone contacts a potential client, regardless of whether they are lazy or hardworking, there is a 5% chance they will make a sale. a Every potential client's decision to make a purchase or not is completely independent of the others. (a) Approximate the probability that a randomly chosen sales person will make less than 35 sales in a year. (b) Suppose a randomly chosen salesperson makes fewer than 35 sales in a year and so you give them a warning for poor performance. What is the approximate probability they are hard working? (c) Let T be the average number of sales your salespeople make (the average sales of the 75 hard-working people and 25 lazy people all together): T : (23:1 Hi) + (212:1 L,) 100 If T surpasses 49, you as the manager will receive a bonus. Find the probability that you receive a bonus