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Before starting to play the roulette in a casino, you want to look for biases that you can exploit. You therefore watch 134 rounds that

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Before starting to play the roulette in a casino, you want to look for biases that you can exploit. You therefore watch 134 rounds that result in a number between 1 and 36, and count the number of rounds for which the result is odd. If the count exceeds 72, you decide that the roulette is not fair. Assuming that the roulette is fair, find a normal approximation for the probability that that you will make the wrong decision

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