Problem $2$: Smoothing $(3$pts$)($a$)$ Smooth the count table you calculated in $1($a$)$ using Laplace smoothing, and recalculate the probability table as well. Assume V$=30.(2$pts$)($b$)$ Recalculate the probability and perplexity of the first sentence in $1($a$)$ using the smoothed table. $(1$pt$)$