. 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...
icon
Related questions
Question

ˆThe 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 ).

Expert Solution
Step 1

Probability homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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