Question: The probability distribution of a discrete random variable X is given by: P(X = 0) = , P(X = 1) = , P(X = 2)

The probability distribution of a discrete random variable X is given by: P(X = 0) = , P(X = 1) = , P(X = 2) = P(X = 3) = 1/8. Approximate the probability that a sample of 500 independent observations of X has a total sum of less than 520

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