1)Prove that the density for the standard normal distribution Satisfies: 1 f(x) = 2 00 f...
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1)Prove that the density for the standard normal distribution Satisfies: 1 f(x) = 2 00 f (x) d -00 f(x)dx = 1 2) Find the expected value of the following game: A coin is tossed until heads appears. You receive $2 to play and that amount is doubled each time tails appears. The game ends when the first H appears. How much would you pay to play this game? 1)Prove that the density for the standard normal distribution Satisfies: 1 f(x) = 2 00 f (x) d -00 f(x)dx = 1 2) Find the expected value of the following game: A coin is tossed until heads appears. You receive $2 to play and that amount is doubled each time tails appears. The game ends when the first H appears. How much would you pay to play this game?
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