A) \[{{P}_{A}}+{{X}_{A}}({{P}_{B}}-{{P}_{A}})\]
B) \[{{P}_{A}}+{{X}_{A}}({{P}_{A}}-{{P}_{B}})\]
C) \[{{P}_{B}}+{{X}_{A}}({{P}_{B}}-{{P}_{A}})\]
D) \[{{P}_{B}}+{{X}_{A}}({{P}_{A}}-{{P}_{B}})\]
Correct Answer: D
Solution :
[d] \[P={{P}_{A}}{{X}_{A}}+{{P}_{B}}{{X}_{B}}\] \[={{P}_{A}}{{X}_{A}}+{{P}_{B}}(1-{{X}_{A}})\] \[\Rightarrow {{P}_{A}}{{X}_{A}}+{{P}_{B}}-{{P}_{B}}{{X}_{A}}\] \[\Rightarrow {{P}_{B}}+{{X}_{A}}({{P}_{A}}-{{P}_{B}})\]You need to login to perform this action.
You will be redirected in
3 sec