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1 point) Three brothers play a game with a pair of fair (six-sided) dice. Scott will win if the sum of the dice is 3, Dave will win if 9, and Jim if 11 They will roll the die until a winner is declaredPart (c) Realizing this, theoretically, is a game that could go on forever..the three brothers decide that if no winner has been decided in three rolls or turns Scott will be deemed the winner. Let Y be the number of turns. If rounding use at least five digits after the decimal. Complete the Probability distribution Y-y 3 Someone wins on the first roll No win on first roll but someone wins on the second roll 0.172839506172839 Part (d) The expected number of turns for this game to conclude is E[] =2.38271604938272. Find the Standard deviation of Y If rounding use at least five digits after the decimal. Part (e) Refer to part c) If a player gets $50 for each turn, but has to pay $100 to play. How much money do you expect the player to win? EEIf rounding use at least five digits after the decimal, if they expect to lose money use a negative. What is the absolute value of the standard deviation of the amount of money the player expects to win? EE If rounding use at least five digits after the decimal.

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