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hello I need this questions in help , please answer all the question in the question mentioned, thank you Problem 4 [24 Points] If the

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hello I need this questions in help , please answer all the question in the question mentioned, thank you

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Problem 4 [24 Points] If the class in our university lasts that is Uniformly Distributed between 120 min to 170 min. (a) [4 points] What is the probability that the time interval randomly selected a class length is longer than 145 minutes (Class delay)? (b) [4 points] There are 25 classes in university per week for all year one students, let Y be the number of classes would delay (class length is longer than 145 minutes) in each week for year one students, so what's the distribution of Y? And please write out the parameter of this distribution. (c) [4 Points] Please calculate the probability that at least 14 classes delay in each week for year one students. Can we apply the approximation method here? Which method should be used for calculating this probability? (d) [4 Points] Please calculate the probability that exact 10 classes delay in each week for year one students by using the exact method AND approximation method in part (c). Compare the results, are they close? (e) [4 Points] Let 2 be the number of classes would dismiss the class early (class length is shorter than 124 minutes) in each week (25 classes) for year one students, so what's the distribution of 2? And please write out the parameter of this distribution. Can we apply the approximation method for Z in here? (f) [4 Points] Please calculate the probability that exact 5 classes dismiss early in each week for year one students by using the exact method AND approximation method in part (e). Compare the results, are they close

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