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...
icon
Related questions
Question
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) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 8 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON