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Card 9 / 21:
Suppose that you are offered the following “deal.” You roll a die. If you roll a six, you win $10. If you roll a four or five, you win $5. If you roll a one, two, or three, you pay $6.
What are you ultimately interested in here (the value of the roll or the money you win)?In words, define the Random Variable X .List the values that X may take on.Construct a PDF.Over the long run of playing this game, what are your expected average winnings per game?Based on numerical values, should you take the deal? Explain your decision in complete sentences.
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