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Question 6. Bib Fortuna watches the front gate of Jabba the Huts compound in four-hour shifts. The planet Tatooine is sparsely populated and the gate gets an average of 3 visits per 4 hours. a) Let X be the number of visits to the gate in 4 hours. How would you model X? Explain. b) Find the probability that Bib Fortuna gets no more than two visits during the 4 hour shift. c) Let Y denote the time it takes for the next visit to occur. How would you model Y? Explain d) Find the probability that Bib Fortuna gets a visit in the next hour. e) What is the expected time to the next visit for Bib Fortuna? please show your work, especially for question one! thanks
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