Quiz questions

9-13

  • 0:13:08: Q1. What is the differential entropy of the uniform distribution? ANS: -log2

  • 0:23:54: Q2 what is the value of that integral? ANS: 0.5

  • 0:28:28: Q3. what is the value of the first integral? ANS: \(\ln((2\pi\sigma^2)^{1/2}))\)

  • 1:08:40: Q4 is X1 and X2 are independent? T or F? ANS: T

  • 2:05:52: Q5 what is the covariance of X|y? ANS: \(\Lambda_{XX} ^{-1}\)

  • 2:14:08: Q6 what is the mean of X|y? ANS: \(\mu_X - \Lambda_{XX}^{-1} \Lambda_{XY}(y-\mu_Y)\)

  • 2:36:39: Q7 what do you think the diagonal correlation should be? ANS: \(\rho^2\)