The expected value of playing this game = a weighted average of the winnings (or losses) multiplied by the odds of winning: (3/37)3 + (9/37)2 + (25/37054)(-1) = 9/37 + 18/37 - 25/37 = 27/37 -25/37 = 2/37 = about 0.054 winnings = $0.054 = 5.4 cents
The sine model is y=10 sin(1/30 t) + 30. The 30 represents default distance from the ground, and the ten is required to represent the length of the blades. Every 30 seconds, one rotation completes, so t must be multiplied by 1/30.
