Jeff, a sales manager of a car​ dealership, believes that his sales force sells a car to 35​% of the customers who stop

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Jeff, a sales manager of a car​ dealership, believes that hissales force sells a car to 35​% of the customers who stop by theshowroom. He needs the dealership to make 60 sales this month toget a special bonus of ​$160,000. Approximately 120 customers visitthe showroom each month. You may assume that the customers enteringthe dealership are independent of one another. Complete parts athrough f below. Question content area bottom Part 1 ​a) What isthe probability that he will make his​ bonus? The probability thathe will make his bonus is    ​(Round to three decimal places as​needed.) Part 2 ​b) What is the probability that he will sellbetween 50 and 60 cars​ (exclusively)? The probability that he willsell between 50 and 60 cars is    enter your response here. ​(Roundto three decimal places as​ needed.) Part 3 ​c) Assume that Jeffcan choose to either increase the motivation of his sales force sothat they increase the probability of a sale to 40​%, or toincrease the number of people walking into the showroom to 140 .Which makes it more likely that Jeff will sell 60 ​cars? Theprobability that Jeff will sell 60 cars if the probability of asale is increased to 40​% is    _ The probability that Jeff willsell 60 cars if the number of people walking into the showroom isincreased to 140 is    _ ​Therefore, increasing the number ofpeople makes it more likely that Jeff will sell 60 cars. ​(Round tothree decimal places as​ needed.) Part 4 ​d) A marketing consultantsuggests that she can produce an ad campaign that will increase thenumber of people walking into the showroom to 140 at a cost of​$20,000. Assuming that Jeff is​ risk-neutral and has the​ budget,should Jeff accept the​ offer? Jeff ___ accept the offer becausethe cost of the ad campaign is __ than the expected value ofincreasing the number of​ people, ​$__    enter your response here.​(Round to the nearest dollar as​ needed.) Part 5 ​e) What is themaximum amount that Jeff should be willing to pay to increase thenumber of people entering the showroom to ​(assuming that he is​risk-neutral and perfectly​ rational)? Jeff should be willing topay a maximum of ​$__    enter your response here. ​(Round to thenearest dollar as​ needed.) Part 6 ​f) If 19​% of customers are​"Big Spenders" who earn the firm a lot of​ money, what is theprobability that Jeff will see at least 1​ "Big Spender" in thenext 15 customers​ (not see one that​ buys, but just see​ one)? Theprobability that Jeff will see at least 1​ "Big Spender" is   enter your response here. ​(Round to three decimal places as​needed.)