Find Var(X) and Var(Y) for X and Y as given in Problem 4.21.
Problem
Four buses carrying 148 students from the same school arrive at a football stadium. The buses carry, respectively, 40, 33, 25, and 50 students. One of the students is randomly selected. Let X denote the number of students who were on the bus carrying the randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on her bus.
(a) Which of E[X] or E[Y] do you think is larger? Why?
(b) Compute E[X] and E[Y],
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