An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table. y p(x,y) 0 5 10 15 x 0 0.03 0.06 0.02 0.10 5 0.04 0.16 0.20 0.10 10 0.01 0.15 0.12 0.01 (a) Compute the covariance for X and Y. (Round your answer to two decimal places.) Cov(X, Y) = (b) Compute ? for X and Y. (Round your answer to two decimal places.) ? =
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We can do this by summing the probabilities along the rows and columns of the table. For X: p_X(10) = 0.02 + 0.20 + 0.12 = 0.34 p_X(15) = 0.10 + 0.10 + 0.01 = 0.21 For Y: p_Y(10) = 0.02 + 0.10 + 0.03 + 0.06 = 0.21 p_Y(15) = 0.20 + 0.10 + 0.04 + 0.16 = Show moreā¦
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