A) \[{{P}_{total}}\,=\,\,P_{A}^{*}+({{P}_{A}}^{*}-{{P}_{B}}^{*}){{X}_{A}}\]
B) \[{{P}_{total}}\,=\,\,P_{B}^{*}+({{P}_{B}}^{*}-{{P}_{A}}^{*}){{X}_{A}}\]
C) \[{{P}_{total}}\,=\,\,P_{A}^{*}+({{P}_{B}}^{*}-{{P}_{A}}^{*}){{X}_{A}}\]
D) \[{{P}_{total}}\,=\,\,P_{B}^{*}+({{P}_{B}}^{*}-{{P}_{A}}^{*}){{X}_{A}}\]
Correct Answer: B
Solution :
Since we know \[{{P}_{T}}={{P}_{A}}^{*}{{X}_{A}}+{{P}_{B}}^{*}{{X}_{B}}\] \[=\,\,\,P_{A}^{*}{{X}_{A}}+{{P}_{B}}^{*}(1-{{X}_{A}})\] \[{{P}_{total}}={{P}_{B}}^{*}\,+({{P}_{A}}^{*}-{{P}_{B}}^{*}){{X}_{A}}\]You need to login to perform this action.
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