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Mathematics, 12.11.2020 19:10 annette211pdd8v9

) Consider this game of chance with a monetary payoff. First, a real number U is chosen uniformly at random from the interval r0, 10s. Next, an integer X is chosen according to the Poisson distribution with parameter U. The player receives a reward of $X. What would be the fair price charged for playing this game? That is, how much should it cost to play so that expected net gain is zero?

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