A theme park classifies its crowd levels on any given day as busy (state 1), average (state 2), or not busy (state 3). The transitions from one state to another follow the TPM given below (the two-step TPM is also given). Today is Friday, and the theme park has average crowd levels (state 2) today. [0.2 0.4 0.4] 0.2 0.48 0.32 P = 0 0.6 0.4 p (2) = 0.16 0.52 0.32 Lo.4 0.4 0.2. L0.16 0.48 0.36] a) What is the probability that the park will be busy on Sunday? b) What is the probability that the first not-busy day will be Sunday? c) What is the long-run proportion of time that the theme park is busy