A) 91/165
B) 90/163
C) 82/161
D) 95/167
Correct Answer: D
Solution :
[d] A: Doctor finds a rash \[{{B}_{1}}:\]Child has measles S: Sick children \[P(S/F)=0.9\] \[{{B}_{2}}:\]Child has flu\[\Rightarrow P({{B}_{2}})=9/10\] \[P(S/M)=0.10\] \[P(A/{{B}_{1}})=0.95\] \[P(R/M)=0.95\] \[P(A/{{B}_{2}})=0.08\] \[P(R/F)=0.08\] \[P({{B}_{1}}/A)=\frac{0.1\times 0.95}{0.1\times 0.95+0.9\times 0.08}\] \[=\frac{0.095}{0.095+0.072}=\frac{0.095}{0.167}=\frac{95}{167}\]You need to login to perform this action.
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