For Example 4 of Section 4.1, the flu recovery model with (N=5), compute (Pleft[X_{3}=0 mid X_{0}=5 ight])

For Example 4 of Section 4.1, the flu recovery model with \(N=5\), compute \(P\left[X_{3}=0 \mid X_{0}=5\right]\) and \(P\left[X_{2}=1, X_{3}=0 \mid X_{0}=5\right]\).