Consider the following two independent random variables, X and Y. Random variable X has a mean of 27 and a variance of 100. Random variable Y has a mean of 19 and a variance of 16. Find the mean, variance, and standard deviation for the following linear combination of X and Y. Give your answer to at least three decimal places. -4X + Y Mean: Variance: Standard Deviation: If X and Y were not independent, describe in 1-3 sentences how would this change your above answers, and why. Make sure to address both the mean and variance from the above computations.

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