E(Q)=2/3 (in the class example)

P(H)=E(Q)=2/3

P(H2|H1)=P(H2&H1)/P(H2)

P(H2&H1)=integrate P(H)^2*fQ(q) from 0 to 1, which I got 1/2

P(H1) is just 2/3

SO final result is 3/4. Hope it's good

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Prof. Math. Ohio State and Associate Dean
Outstanding Alumnus Purdue Math 2008

Jeff McNeal