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Question 1. Here are some data: 115.8, 115.2, 114.6,115.9, 116.4 Use the table below to answer the following questions (NOT R!): a) Compute the mean value for these data b) Compute the deviation from the sample mean for each observation (xi-x) cCompute the sample standard deviation using the defining formula d) Compute the sample standard deviation using the computational short-cut e) What is the mean value of the deviations? xi-x)2 xi Xi 115.8 115.2 114.6 115.9 116.4 Xi-X 4 x: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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