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Suppose that X and Y are two jointly continuous random variables with joint PDF ??,(?, ?)...

Suppose that X and Y are two jointly continuous random variables with joint PDF

??,(?, ?) = ??                     ??? 0 ≤ ? ≤ 1 ??? 0 ≤ ? ≤ √?

                    0                        ??ℎ??????

  1. Compute and plot ??(?) and ??(?)
  2. Are X and Y independent?
  3. Compute and plot ??(?) and ???(?)
  4. Compute E(X), Var(X), E(Y), Var(Y), Cov(X,Y), and Cor.(X,Y)
Math   Statistics-And-Probability   
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