0:13:31: Q1. What is the mode of the third beta? ANS: 2/3
0:16:45: Q2 given a=b=2, and 5 heads out of 6 tosses, what is the probability of getting another head using MAP estimation? ANS: 68 OR 34
0:20:59: Q3. What if we repeat the question but use bayesian estimation instead? ANS: 7/10 OR .7
0:54:07: Q4. assuming a1=5, a2=a3=a4=a5=a6=3. If i got one 1, two 2s, three 3s and four 4s and no 5 and 6 in 10 tosses, what is the probability of getting another 1 assuming MAP? ANS: 5/24
1:00:10: Q5 how about bayesian estimation? ANS: \(6/30\) OR \(1/5\) OR .2
2:03:43: Q6. What is the variance of Y? ANS: Var(f(X))/N^2
2:07:24: Q7 What is var(2X) if Var(X)=sigma^2? ANS: 4*sigma^2
2:23:23: Q8 what is the minimum p that is worthy betting? ANS: \(1/a\)
2:28:03: Q9 should we all in if p > 1/a? ANS: no
2:50:55: Q10. About how many typical sequences do we have inside \(A_\epsilon^{N(X)}\)? ANS: \(2^{N H(X)}\)