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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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.
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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

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