A) \[36\]
B) \[25\]
C) \[64\]
D) None of these
Correct Answer: B
Solution :
Given that,\[r=0.32,\,\,\operatorname{cov}(x,\,\,y)=8,\,\,{{\sigma }_{x}}=25\] Since, \[r=\frac{\operatorname{cov}(x,\,\,y)}{\sqrt{{{\sigma }_{x}}},\,\,\sqrt{{{\sigma }_{y}}}}\] \[\therefore \] \[0.32=\frac{8}{\sqrt{25}\sqrt{{{\sigma }_{y}}}}\] \[\Rightarrow \] \[\sqrt{{{\sigma }_{y}}}=\frac{8}{0.32\times 5}\] \[\sqrt{{{\sigma }_{y}}}=\frac{8}{1.6}=5\] \[\Rightarrow \] \[{{\sigma }_{y}}=25\]
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