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Consider the following two independent random variables, and . Random variable has a mean of 20 and a variance of 100. Random variable has a

Consider the following two independent random variables, and . Random variable has a mean of 20 and a variance of 100. Random variable has a mean of 27 and a variance of 16. Find the mean, variance, and standard deviation for the following linear combination of and . Give your answer to at least three decimal places. WORK REQUIRED Mean: -142 Variance: 784 Standard Deviation: 28 If and 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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