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 that 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].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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5. 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 that 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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