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 $4. O Part (a) O Part (b) O Part (c) O Part (d) Construct a PDF. (Enter your answers for P(X = x) as fractions. Round your answers for x· P(X = x) to two decimal places.) P(X = x) x· P(X = x) 6 4 or 5 1, 2, or 3 O Part (e) Over the long run of playing this game, what are your expected average winnings per game? (Round your answer to two decimal places.) $ 0.5

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