Let X and Y have a joint p.m.f. given by f(x, y) f(1, 1) = 0.05.pdf

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Let X and Y have a joint p.m.f. given by f(x, y): f(1, 1) = 0.05 f(1, 2) = 0.02 f(1, 3) = 0.04 f(2, 1) = 0.05 f(2, 2) = 0.03 f(2, 3) = 0.05 f(3, 1) = 0.04 f(3, 2) = 0.08 f(3, 3) = 0.06 f(4, 1) = 0.13 f(4, 2) = 0.11 f(4, 3) = 0.16 f(5, 1) = 0.04 f(5, 2) = 0.06 f(5, 3) = 0.08 (a) Sketch the support of X and Y, then find the best-fitting line and draw it on the sketch. (b) Find the means and variances of f(x, y), then find the covariance and correlation coefficient of X and Y. Solution Worked examples | Multiple Random Variables Example 1 Let X and Y be random variables that take on values from the set f.

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