Table 14-4
Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium.This state contains three cities: Chaos (C1), Frenzy (C2), and Tremor (C3).A transition matrix, indicating the probability that a resident in one city will travel to another, is given below.Cuthbert's job is to schedule the required number of seats, one to each person making the trip (transition), on a daily basis.
C F T
Transition matrix:

π(0)= [100, 100, 100]
-Using the data given in Table 14-4, how many seats should Cuthbert schedule for travel from Chaos to Frenzy for tomorrow?
A)110
B)100
C)90
D)80

Question

Table 14-4
Cuthbert Wylinghauser is a scheduler of transportation for the state of Delirium.This state contains three cities: Chaos (C1), Frenzy (C2), and Tremor (C3).A transition matrix, indicating the probability that a resident in one city will travel to another, is given below.Cuthbert's job is to schedule the required number of seats, one to each person making the trip (transition), on a daily basis.
C F T
Transition matrix: 
 
π(0)= [100, 100, 100]
-Using the data given in Table 14-4, how many seats should Cuthbert schedule for travel from Chaos to Frenzy for tomorrow?
A)110 
B)100 
C)90 
D)80

Quizplus · Accepted Answer

To determine the number of seats that Cuthbert should schedule for travel from Chaos to Frenzy (C1 to C2), we need to multiply the probability of transition from C1 to C2 with the number of people currently in C1 (π(0)[0]).

P(C1 to C2) = 0.3  (from the given transition matrix)

Number of people in C1 = π(0)[0] = 100

Hence, the number of people traveling from C1 to C2 = 0.3 x 100 = 30

Therefore, Cuthbert should schedule 30 seats from Chaos to Frenzy (C1 to C2) for tomorrow.

Option B is the correct answer.

Table 14-4 Cuthbert Wylinghauser Is a Scheduler of Transportation for the State