Question

If the class in our University lasts that is Uniformly Distributed between 40 min and 60 min.
(a) [3 Points] What is the probability that the time interval randomly selected a class length is longer than 55 minutes (Class delay)?
(b) [3 Points] There are 48 classes in University per week for year one students, let ?? be the number of classes would delay (class length is longer than 55 minutes) in each week for year one students, so what’s the distribution of ??? 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 approximation method in part (c).

Answer 1