0:10:25: Q1. Given a, how big is p so that the bet is worth betting? ANS: p > 1/a
0:16:39: Q2. Should we all in? ANS: N
0:27:00: Q3. What is the optimum X? ANS: X = (ap-1)/(a-1)
0:57:38: Q4. Given n, approximately how many typical sequences are there? ANS: \(2^{n H(X)}\)
1:22:33: Q5. How many heads do you expect in a typical sequence? ANS: 300
1:50:44: Q6. What is the codeword for symbol 4? ANS: 01
1:57:25: Q7 what is C(456)? ANS: 010010
1:59:13: Q8 what is E[l(c(X))]? The expected length of a coded symbol? ANS: 2.5
2:04:08: Q9 what is H(X)? ANS: 2.4464 bits
2:10:19: Q10 what is H(X1,X2) in terms of H(X)? ANS: 2 H(X)
2:21:14: Q11, what is the length of the respective interval for a codeword with length l? ANS: \(2^{-l}\)
2:36:50: Q12. if X1 not indep of X2, H(X1,X2) <= (a) H(X1)+H(X2) or >=(b) H(X1)=H(X2)? ANS: a