Back to 12.4 Problems on Variance, Covariance, Linear Regression

12.4 Exercise 28

Avg difficulty 2.5

(See Exercise 18 from "Problems On Random Vectors and Joint Distributions", and Exercise 28 from "Problems on Mathematical Expectation"). $f_{X Y} \left(t , u\right) = \frac{3}{23} \left(t + 2 u\right)$ for $0 \leq t \leq 2$ , $0 \leq u \leq \max \left\{2 - t , t\right\}$ .

E \left[X\right] = \frac{53}{46} , E \left[Y\right] = \frac{22}{23} , E \left[X^{2}\right] = \frac{9131}{5290}

Pfeiffer, Applied Probability, 12.4 Problems on Variance, Covariance, Linear Regression, exercise 28

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