Given the following probability distributions for X and Y, compute and interpret: a. Covariance b. Correlation c. E[X + Y] d. E[X² – Y] x | 1 6 8 10 p(x) | 0.1 0.3 0.25 y | 2 9 15 p(y) | 0.35 0.3 0.35
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\[ E[X] = \sum x \cdot p(x) = 1 \cdot 0.1 + 6 \cdot 0.3 + 8 \cdot 0.25 + 10 \cdot 0.35 \] \[ E[X] = 0.1 + 1.8 + 2 + 3.5 = 7.4 \] \[ E[Y] = \sum y \cdot p(y) = 2 \cdot 0.35 + 9 \cdot 0.3 + 15 \cdot 0.35 \] \[ E[Y] = 0.7 + 2.7 + 5.25 = 8.65 \] Show more…
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