0:04:00: Q1 does the equality hold? ANS: F OR No
0:10:58: Q2. Does the implication hold? ANS: F OR N
0:14:02: Q3. Does the markov chain imply X1 indep X2? ANS: N
0:15:03: Q4. Is X1 indep of X4 given X2 hold? ANS: Y
0:33:14: Q5 what is the normalization factor here? ANS: N choose K
0:37:31: Q6 What is the expected value of K? ANS: Nq
0:47:18: Q7 what is inside the summation? ANS: \(Bin(k’; N-1, q)\)
1:33:18: Q8. What is \(x^{a+1}(1-x)^{b-1}\) in terms of beta pdf? ANS: \(\frac{\Gamma(a+b+2)}{\Gamma(a+2)\Gamma(b)}Beta(x;a+2,b)\)
1:42:00: Q9. What variable we are trying to maximize over? ANS: p
1:44:25: Q10. What is the parameter of the posterior beta distribution? ANS: \(k+a, N-k+b\)
2:01:42: Q11 what is the Bayesian estimate of p? ANS: \(\frac{k+a}{N+a+b}\)
2:22:05: Q12. What is the first parameter of the dirichlet posterior distribution? ANS: \(\alpha_1+x_1\)
2:43:49: Q13, what is numerator of the RHS? ANS: Var(Y)