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QUESTION

A charity organization hosts a raffle drawing at a fund raising event. The organization sells 2500 tickets at a price of $8 each.

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. 

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).

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