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Suppose that mean variance for a random variable X are 5 and 2, respectively. Also suppose that mean and variance for a random variable Y

Suppose that mean variance for a random variable X are 5 and 2, respectively. Also suppose that mean and variance for a random variable Y are 0 and 1, respectively. We create new random variable Z using X and Y. The newly obtained random variable Z=3X+5Y. What are the mean and variance of the enw random variable Z under the independence assumption between X and Y?

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