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Imagine you are the manager of the Golden State Warriors and your team is in the Finals. There are about 20,000 people bought the tickets

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Imagine you are the manager of the Golden State Warriors and your team is in the Finals. There are about 20,000 people bought the tickets to watch the game, and you need to order 20,000 Tshirts (free for every spectator). The question is how many Tshirt of each size do you want to order? Size Chest Small 3436 Medium 3840 Large 4244 XLarge 4648 2XLarge 5052 3XLarge 54 56 Table 1: Tshirt unisex size: It is impossible to ask all of the audience about their chest due to the limited time and insufcient money. But you have the chests of 1000 people (in the chest.csv). If you can estimate the probability based on the sample, then you can decide the number of each size (say the probability of a person's chest in 3436 in 0.2, then you can order 0.2*20000 small Tshirt). Let us use probability model to solve this question. (1) What is the sample space and the interested events? (2) Dene the random variable. (3) Which statistical distribution do you want to use to model this random variable? Why? hint: you may want to explore the distribution of sample to provide valid reasons

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