Experts could u please answer the 27 th qtn...

Dear student
Let H:student selected is a hostlerD: student selected is a scholarA: student got a distinctionWe need to find the probability that the student selected is a hostler,if he has got a distinction i.e., P(H|A)So,P(H|A)=P(H).P(A|H)P(D).P(A|D)+P(H).P(A|H)P(H)=Probability that student  is a hostler=60%=60100=0.6P(A|H)=Probability that student gets distinction,if hostler=30%=30100=0.3P(D)=Probability that student a  scholar=40%=40100=0.4P(A|D)=Probability that student gets distinction, if scholar=20%=20100=0.2Putting values in formula,P(H|A)=0.6×0.30.4×0.2+0.6×0.3=0.180.08+0.18=0.180.26=913Therefore, required probability is 913
Regards

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first find area under curve y=2/3 sqrt 3^2- x^2 and are under line 2x+3y=6 then substract both of then to get answer.
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Here you go. Sry for the writing :p

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