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Let ? and ? be two independent random variables with moment generating functions ?x(?) = ?t^2+2t...

Let ? and ? be two independent random variables with moment generating functions ?x(?) = ?t^2+2t and ?Y(?)=?3t^2+t . Determine the moment generating function of ? = ? + 2?. If possible, state the distribution name (and include parameter values) of the distribution of ?.

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