(Solved): Consider a Nested Logit model with the structure presented in Figure 1. Figure 2. Nested Logit stru ...

Consider a Nested Logit model with the structure presented in Figure 1. Figure 2. Nested Logit structure for private vehicle, bus, personal transportation services (PTS), and non-motorized transportation (NMT) The corresponding utility functions and parameters are presented next: (a) Alternatives connected to the high nest (mode choice root) Private vehicle $$(pv):V_{pv}=?0.03x_1^{pv}?0.02x_2^{pv}$$ Bus (b): $$V_b=?0.03x_1^b?0.02x_2^b?0.20$$ $$\begin{array}{c}\text{ Structural parameter for Personal }\\ \text{ portation Services (PTS) nest (pts) }\end{array}{?}_{pts}=0.60$$ Transportation Services (P1S) nest $$(pts)$$ Transportation (NMT) nest (nmt) $${?}_{nmt}=0.20$$ (b) Alternative connected to the PTS nest ( $$pts$$ ) Taxi $$(t):V_t=?0.04x_1^t?0.03x_2^t?0.10$$ Lift $$(l):V_l=?0.04x_1^l?0.03x_2^l?0.05$$ (b) Alternative connected to the $$NMT$$ nest ( $$nmt)$$ Walking $$(w):V_w=?0.05x_1^w?0.01x_2^w?0.18$$ Bicycle $$(bk):V_{bk}=?0.05x_1^{bk}?0.01x_2^{bk}?0.07$$ Where $$V_i$$ is the utility of mode $$i,{?}_n$$ is the structural number for nest $$n,x_1^i$$ is the travel time in mode $$i$$ (minutes), and $$x_2^1$$ is the travel cost for mode $$i(\$)$$. Consider an OD pair with the average values presented in Table 3 . What is the probability of choosing private vehicle? [Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$ What is the probability of choosing bus? [ Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$ What is the probability of choosing personal transportation services? [Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$ What is the probability of choosing taxi? [Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$ What is the probability of choosing lift? [Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$ What is the probability of choosing non-motorized transportation? [Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$ What is the probability of choosing walking? [Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$ What is the probability of choosing bicycle? [Choose] $$38\%,12\%,8\%,18\%,24\%,19\%,26\%,17\%$$