solve for parts...

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 $6. If you roll a one, two, or three, you pay $5. + Part (a) + Part (b) + Part (c) 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.) X P(X = X) x . P(X = x) 6 4 or 5 1, 2, or 3 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.) $ Part (f) Based on numerical values, should you take the deal? O Yes, you should take the deal because the expected value is positive. O No, you should not take the deal because the expected value is negative