. Four buses carrying 170 students from the same school arrive at a football stadium. The buses carry, respectively, 50, 45, 40, and 35 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 (including that student). One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on her bus. (a) Compute E[X] and E[Y ]. (b) Compute Var(X) and Var(Y ).
. Four buses carrying 170 students from the same school arrive at a football stadium. The buses carry, respectively, 50, 45, 40, and 35 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 (including that student). One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on her bus. (a) Compute E[X] and E[Y ]. (b) Compute Var(X) and Var(Y ).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The standard notation for a pmf of a random variable X is
f (x) = P (X = x)
for all values X can take.
1. Four buses carrying 170 students from the same school arrive at a football stadium. The buses carry,
respectively, 50, 45, 40, and 35 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 (including that student).
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on her bus.
(a) Compute E[X] and E[Y ].
(b) Compute Var(X) and Var(Y ).
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