O m - ZC 'om T0] 20 20 20 on I neNote File Edit Home Insert tx+ ~L Text Lasso Insert Mode Select Space llllt q (9 View Insert Format Notebooks Tools Window Help OneNote Draw View l v v a ' m N N N N N V . _ O O O O Eraser Pen Marker Highlighter Ink 0.25 mm 0.35 mm 0.5 mm 0.7 mm 1 mm Colour Problem 4 [19 Points] If the class in our University lasts that is Uniformly Distributed between 45 min and 65 min. (a) [4 Points] What is the probability that the time interval randomly selected a class length is longer than 60 minutes (Class delay)? (b) [4 Points] There are 48 classes in University per week for year one students, let Y be the number of classes would delay (class length is longer than 60 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) [6 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