Suppose you buy one ticket. Let the random variable X represent your net gain from playing the game once(remember that the net gain should include the cost of the ticket).  A charity organization hosts a raffle drawing at a fund raising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected, with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000. What is the probability distribution for all of the possible values of X and their probabilities?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Suppose you buy one ticket. Let the random variable X represent your net gain from playing the game once(remember that the net gain should include the cost of the ticket). 

A charity organization hosts a raffle drawing at a fund raising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected, with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000.

What is the probability distribution for all of the possible values of X and their probabilities?

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A charity host a raffle sells $2500 tickets each $8 prizes are 30 at $100, 10 at $500, and one at $8000. Suppose you buy one ticket. ... what ticket price would make it a fair game so that on average neither the players nor the organization of the raffle win or lose money? Round to two decimals.

if you were organizing a raffle like this, how would you change the game (ticket price, number of tickets, prizes, amounts ect) in order to encourage more people to purchase tickets while still raising at least $4000.?

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Find the mean/ expected value of X round to two decimal places

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