Answer to Question #213021 in Statistics and Probability for Ikku

Question

The water level in a particular lake depends upon two sources, direct rainfall X, and inflow from a stream Y. The rainfall Z around the lake can be considered as a random variable with a mean μ_Z and a standard deviation σ_Z. X and Y are related to Z as

X = aZ and Y = b + cZ

where a, b and c are constants. Calculate the correlation coefficient ρ_X,Y.

Answer 1

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