Question B only

2. (36 points) You are a manager of a sales team. (a) (b) (C) There are 100 people who do sales for your team. 75% of them are hard working and 25% of them are lazy. Hard working salespeople contact 1,000 potential clients each year. Lazy salespeople contact 800 potential clients each year. 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. Every potential client's decision to make a purchase or not is completely independent of the others. Approximate the probability that a randomly chosen sales person will make less than 35 sales in a year. 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? Let T be the average number of sales your salespeople make (the average sales of the 75 hardworking people and 25 lazy people all together): (217:1 Hi) + (Zfil Li) 100 If T surpasses 49, you as the manager will receive a bonus. Find the probability that you receive a bonus. T