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) =
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) =
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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![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)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F223b9866-d226-4984-967c-d26b057ee9a7%2F58c1d911-0fbf-4aca-8abb-9977ebdd1ab7%2Fpjf43qg_processed.png&w=3840&q=75)
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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