Four buses carrying 151 high school students arrive to Montreal. The buses carry, respectively, 35, 41, 31, and 44 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the four bus drivers is also randomly selected. Let y denote the number of students on his bus. Compute the expectations and variances of X and Y: E(X) = Var(X) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Four buses carrying 151 high school students arrive to Montreal. The buses
carry, respectively, 35, 41, 31, and 44 students. One of the students is randomly
selected.
Let X denote the number of students that were on the bus carrying this randomly
selected student. One of the four bus drivers is also randomly selected.
Let Y denote the number of students on his bus. Compute the expectations and
variances of X and Y:
E(X) =
Var(X) = =
E(Y) = 37.75
Var(Y)
=
Transcribed Image Text:Four buses carrying 151 high school students arrive to Montreal. The buses carry, respectively, 35, 41, 31, and 44 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the four bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y: E(X) = Var(X) = = E(Y) = 37.75 Var(Y) =
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