zakid6181 zakid6181

25-05-2023
Mathematics

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6. This is a typical exam question. Consider a random variable X with the following distribution x 1 3 4 7 8 P(X=x) 0.3 0.2 0.1 0.3 0.1 and let 1, X<4 Y=2, X>7 3. otherwise (a) What are the mean and variance of X? (b) What are the mean and variance of Y? (c) Are X and Y independent? Justify with a formula. (d) Find Cov(X,Y) and the correlation coefficient xy.

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