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Let X and Y be independent random variables representing the lifetime (in one billion years) of Type A and Type B stars, respectively. Both variables

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Let X and Y be independent random variables representing the lifetime (in one billion years) of Type A and Type B stars, respectively. Both variables have exponential distributions, and the mean of X is 3 and the mean of Y is 11. What is the variance of the total lifetime of three times a Type A star and a Type B star

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