Two independent random variables are defined with the following distributions: X 1 2 3 (a) Р 0.5 0.2 0.3 Y p 1 2 0.2 4 0.6 Determine the PDF of the sum of X and Y using convolutions. 0.2 (b) Determine the mean and variance of the sum by treating the result as the sum of two independent random variables.

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