Question: What does the central limit theorem say about the distribution of Sam's average payoff after betting on 520 spins in a year? Sam comes out

"What does the central limit theorem say about the distribution of Sam's average payoff after betting on 520 spins in a year? Sam comes out ahead for the year if his average payoff is greater than $1 (the amount he bet on each spin). What is the probability that Sam ends the year ahead? The true probability is 0.396. Does using the central limit theorem provide a reasonable approximation?"

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