Question 23: KL divergence is not a distance metric because \text{KL}…

KL divergence is not a distance metric because $\text{KL}(P\|Q)$ is (a) __________ to $\text{KL}(Q\|P)$. And KL divergence is always $\geqslant$ (b) __________.
Suppose $P \sim \text{Bernoulli}(0.8)$ and $Q \sim \text{Bernoulli}(0.2)$ then
(c) $\text{KL}(P\|Q) =$ __________ nats and (d) $\text{KL}(Q\|P) =$ __________ nats.

Hint: You can use these values of natural log: $\ln(2) = 0.69$, $\ln(4) = 1.38$, $\ln(0.6) = -0.510$, $\ln(8) = 2.079$, $\ln(0.4) = -0.91$,
Answer upto two decimal places.

Based on the above data, answer the given subquestions.

Enter the correct answer for (a)
**NOTE:**Enter the exact answer without any space in the beginning or at the end.