The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each and will sell 900 tickets. There is one $2,000 grand prize, four $500 second prizes, and thirteen $20 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.

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
icon
Concept explainers
Topic Video
Question
100%
The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each
and will sell 900 tickets. There is one $2,000 grand prize, four $500 second prizes, and thirteen $20 third
prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent.
Hìnt:
Hint
Video on Expected Value [+]
Submit Question
Wassess2//skop/11
o search
DII
FS
prt sc
home
end
insert
delet
F10
F12
114
%23
2
3
4.
7
8.
9.
W
R
U
F
K
C
V
G
Transcribed Image Text:The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $5 each and will sell 900 tickets. There is one $2,000 grand prize, four $500 second prizes, and thirteen $20 third prizes. You just bought a ticket. Find the expected value for your profit. Round to the nearest cent. Hìnt: Hint Video on Expected Value [+] Submit Question Wassess2//skop/11 o search DII FS prt sc home end insert delet F10 F12 114 %23 2 3 4. 7 8. 9. W R U F K C V G
Expert Solution
Step 1

Given Information:

Selling tickets each for $5

Number of tickets sold = 900

There is one $2000 grand prize, Four $500 second prizes, Thirteen $20 third prizes.

To find the expected value for profit:

 

Let X denote the prize amount.

Expected value of any discrete random variable X is calculated using the formula:

EX=iXiPXi

X takes values $2000, $500, $20

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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