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). If you were to play in such a raffle 100 times, what is the expected net gain?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
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Chapter11: Data Analysis And Probability
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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).

  1. If you were to play in such a raffle 100 times, what is the expected net gain?
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