A) \[cos\text{ }x\]
B) \[\sec \text{ }x\]
C) \[{{e}^{\cos x}}\]
D) \[{{e}^{\sin x}}\]
Correct Answer: B
Solution :
Let\[{{x}_{1}},{{x}_{2}},...{{x}_{n}}\]be n observations. Then, \[\overline{X}=\frac{1}{n}\Sigma {{y}_{i}}\] Let\[{{y}_{i}}=\frac{{{x}_{i}}}{\alpha }+10\] (according to the given condition) Then, \[\overline{Y}=\frac{1}{n}\Sigma {{y}_{i}}\] \[=\frac{1}{n}\Sigma \left( \frac{{{x}_{i}}}{\alpha }+10 \right)\] \[=\frac{1}{\alpha }\left( \frac{1}{n}\Sigma {{x}_{i}} \right)+\frac{1}{n}(10n)\] \[=\frac{1}{\alpha }\overline{X}+10\] \[\Rightarrow \] \[\overline{Y}=\frac{\overline{X}+10\alpha }{\alpha }\]
You need to login to perform this action.
You will be redirected in
3 sec
