Statistics, Statistical Analysis, Normal Distribution, Central Limit Theorem, Cdf.
the number of rolls, E(Y) is the expectation of Y, and Var(Y) is the variance of Y. We can use Python to calculate these values: # The mean and standard deviation of the normal distribution that approximates the money after N rolls mu = N * E_Y sigma = np.sqrt(N * Var_Y) print(mu, sigma) The output