Question: Please solve using Python where needed Case stuay 4: Wheelchail basketoall [15 points] Suppose that you are a manager for a wheelchair basketball team with

Please solve using Python where needed

Please solve using Python where needed Case stuay 4: Wheelchail basketoall [15points] Suppose that you are a manager for a wheelchair basketball teamwith 12 players on the roster. The length of time that an

Case stuay 4: Wheelchail basketoall [15 points] Suppose that you are a manager for a wheelchair basketball team with 12 players on the roster. The length of time that an athletic wheelchair can function before needing to be serviced follows an exponential distribution (accessible within Python through the expon set of methods from scipy. stats ). For this exponential distribution, you should set the scale parameter to 7 weeks. a) Using Python, generate a set of 12 randomly selected draws from the exponential distribution defined above. You can think of each draw as the amount of time before a wheelchair needs to be serviced for a single player on the roster. Hint: I recommend using a random_state here, so that you can recreate your draws, if needed. H b) Calculate the minimum, mean, median, standard deviation, and estimated probability of a wheelchair not needing to be serviced for the 16 weeks of the semester based on this particular set of draws from the exponential distribution, i.e. the time until a wheelchair needs to be serviced for each of the 12 players on the roster. Hint: You may want to use the tools demonstrated in the tutorial below to help perform these calculations. Tutorial for working with arrays. We don't always have objects in Python that allow us to use our typical methods for calculating summary values, including means, medians, and standard deviations. If you find that your first attempt at a calculation doesn't work, try adjusting your code to the following format. []:H []:C []:M [l ] M c) Based on your random sample, what is the first time that a player would need their wheelchair serviced? How many players would need their wheelchair serviced during the semester? []:M Type Markdown and LaTeX: 2 d) For the theoretical exponential distribution with a scale of 7 , calculate and report the mean, median, standard deviation, and probability of a wheelchair not needing to be serviced for the 16 weeks of the semester. Hint: The exponential distribution is a continuous random variable and has many of the same functions as other continuous random variables we have discussed in class. You can also find documentation for this distribution online. H H H H e) How close are the mean, median, standard deviation, and probability values between 4c and 4d

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