Question

I dont understand question 1 part A to D and please write clear. 1) Suppose you...

I dont understand question 1 part A to D and please write clear.

1) Suppose you play a die rolling game in which a fair 6-sided die is rolled once. If the outcome of the roll (the number of dots on the side facing upward) is at least five, you win $10, otherwise you lose $5.50. Let ? be the profit of the game or the amount of money won or lost per roll. Negative profit corresponds to lost money.

a) (6pt) Construct a probability distribution for this game by completing the table.

Outcome

?

Probability

b) (2pt) Compute the expected value (the mean) of ?.

c) (2pt) Explain the meaning of the expected value ? in the context of the problem.

d) (1pt) If you played this game 50 times, how much would you expect to win or lose?

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