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Suppose that the random variables X, Y, and Z have the joint probability density function fX,Y,Z(x, y, z) = (c, if x^2 + y^2 ≤ 6, 0 ≤ z ≤ 3; 0, otherwise). Determine the following covariance and correlation. 1. Cov(X, Z) and ρ(X, Z) 2. Cov(X, Y) and ρ(X, Y)
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Question Text | Suppose that the random variables X, Y, and Z have the joint probability density function fX,Y,Z(x, y, z) = (c, if x^2 + y^2 ≤ 6, 0 ≤ z ≤ 3; 0, otherwise). Determine the following covariance and correlation.
1. Cov(X, Z) and ρ(X, Z)
2. Cov(X, Y) and ρ(X, Y)
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Topic | All Topics |
Subject | Statistics |
Class | Class 11 |