A) \[(10,\,200)\]
B) \[(30,\,20)\]
C) \[(10,\,20)\]
D) \[(30,\,200)\]
Correct Answer: D
Solution :
Given, \[E(X)=3,\,\,\,V(X)=2\] We know that, if \[y=aX+b,\] then \[E(y)=E(aX+b)=a\,\,E(X)+b\] and \[V(y)={{a}^{2}}\,V(X)+b\] Here, we have \[y=10\,X\] \[\therefore \] \[E(y)=E(10X)=10E(X)\] \[10\times (3)=30\] and \[V(y)=V(10X)\] \[={{(10)}^{2}}\,V(X)\] \[=100(2)=200\] Hence, \[\{E(y),\,V(y)\}=(30,\,\,200)\]
You need to login to perform this action.
You will be redirected in
3 sec
