I am playing a gambling game. On each play, I have a 10% chance of winning $12, a 30% chance of breaking even (not winning or losing any money), and 60% chance of losing $5. I play this game 300 times. (a) Write down the box model to represent this situation, including the values on the tickets, the number of repeats of each ticket, and how many draws we will make with replacement from the box. (b) The average of this box is ___________ and the SD of the box is ____________. (c) In 300 plays, my net gain (total amount won or lost) has an expected value of $___________, with a standard error of $___________. (d) What is the chance that I come out ahead (have a positive net gain) after the 300 plays? Use the normal approximation to calculate this. ___________%

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