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A high school basketball team holds a fund-raiser. It sells 500 raffle tickets for $1 apiece....

A high school basketball team holds a fund-raiser. It sells 500 raffle tickets for $1 apiece. Suppose you a buy a ticket. In this raffle there is one $100 prize, two $50 prizes and five $10 prizes. a) Describe the random variable X in words.

b) Construct a PDF using a table.

c) If this fund-raiser is repeated often and you always purchase a ticket, what would be your expected average winnings per game? What is the standard deviation?

d) Based on numerical values, should you buy a raffle ticket? Explain your decision in complete sentences.

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