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Let \(X_1\) and \(X_2\) be two independent random variables with the same probability distribution:$$P(X_i=10)=\frac{1}{100} \quad \text{and} \quad P(X_i=-1)=\frac{99}{100}$$
  1. What are the possible values of \(S_2=X_1+X_2\)?
  2. Find the probability distribution of \(S_2\).

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