a)P(decided to take loan)=P(women and decided to take loan)+P(men and decided to take loan)=0.5*0.2+0.5*0.15=0.175
therefore P(men given decided to take loan)=P(men and decided to take loan)/P(decided to take loan)=0.5*0.15/0.175=0.428571
b)
P(women given not decided to take loan)==P(women and not decided to take loan)/P(not decided to take loan)
=0.5*(1-0.20)/(1-0.175)=0.484848
c)P(decided to take loan)=P(women and decided to take loan)+P(men and decided to take loan)=0.5*0.2+0.5*0.15=0.175
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