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Please use the following data to answer next three questions: [ begin{array}{l} operatorname{Var}(X)=16, operatorname{Var}(Y)=36, operatorname{Var}(Z)=49 operatorname{Cov}(X, Y)=5, operatorname{Cov}(Y, Z)=10, operatorname{Cov}(X, Z)=8 a=1, b=3,

image text in transcribed Please use the following data to answer next three questions: \\[ \\begin{array}{l} \\operatorname{Var}(X)=16, \\operatorname{Var}(Y)=36, \\operatorname{Var}(Z)=49 \\\\ \\operatorname{Cov}(X, Y)=5, \\operatorname{Cov}(Y, Z)=10, \\operatorname{Cov}(X, Z)=8 \\\\ a=1, b=3, c=4, d=2 \\end{array} \\] Please provide the answers for the following corrected to 2 decimal points: \\[ \\operatorname{Cov}(a X+b Y, c Z+d)= \\] \\[ \\operatorname{Var}(\\mathrm{dZ}+\\mathrm{ac})= \\] Correlation between \\( Y \\) and \\( Z=\\operatorname{Corr}(Y, Z)= \\)

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