Consider the hidden Markov model (HMM) shown in Figure 1. Show the details of computing each belief state, i.e, B(+r), B(-r), B'(+r), and B'(-r). The final belief state values and CPTs are provided for this HMM. To receive full credit, you must clearly show the step-by-step computations. B'(+r) = 0.5 B'(-r) - 0.5 B'(+r) = 0.627 BH(-r) - 0.373 B(+r) = 0.5 B(-r) - 0.5 B(+r) = 0.818 B(-r) - 0.182 B(+r) = 0.883 BI-r) - 0.117 Rain, Rain, Rain R, R U R: 1P(R., R.) +r 0.7 P(U,IR) 0.9 +r +r +u +r +r -u 0.1 0.3 0.3 - +r -r +u 0.2 Umbrella, Umbrella, -r 0.7 -u 0.8 Consider the hidden Markov model (HMM) shown in Figure 1. Show the details of computing each belief state, i.e, B(+r), B(-r), B'(+r), and B'(-r). The final belief state values and CPTs are provided for this HMM. To receive full credit, you must clearly show the step-by-step computations. B'(+r) = 0.5 B'(-r) - 0.5 B'(+r) = 0.627 BH(-r) - 0.373 B(+r) = 0.5 B(-r) - 0.5 B(+r) = 0.818 B(-r) - 0.182 B(+r) = 0.883 BI-r) - 0.117 Rain, Rain, Rain R, R U R: 1P(R., R.) +r 0.7 P(U,IR) 0.9 +r +r +u +r +r -u 0.1 0.3 0.3 - +r -r +u 0.2 Umbrella, Umbrella, -r 0.7 -u 0.8