2) Commuters traveling from Pomona to Los Angeles who take I-10 are 60% likely to take it the next da 30% likely to take CA-60, and 10% likely to take I-210. Those who take CA-60, are 70% likely to tak the next day, and 20% likely to take I-210. And those who take I-210, are 80% likely to take it the nex day, and 20% likely to take I-10. a) Find the transition matrix. [1000] b) Sunnose S. 1000 Eind the number of commuters for each freeway after 3 days

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2) Commuters traveling from Pomona to Los Angeles who take I-10 are 60% likely to take it the next day,
30% likely to take CA-60, and 10% likely to take I-210. Those who take CA-60, are 70% likely to take it
the next day, and 20% likely to take I-210. And those who take I-210, are 80% likely to take it the next
day, and 20% likely to take I-10.
a) Find the transition matrix.
[1000]
b) Suppose So = |1000|. Find the number of commuters for each freeway after 3 days.
[1000]
Transcribed Image Text:2) Commuters traveling from Pomona to Los Angeles who take I-10 are 60% likely to take it the next day, 30% likely to take CA-60, and 10% likely to take I-210. Those who take CA-60, are 70% likely to take it the next day, and 20% likely to take I-210. And those who take I-210, are 80% likely to take it the next day, and 20% likely to take I-10. a) Find the transition matrix. [1000] b) Suppose So = |1000|. Find the number of commuters for each freeway after 3 days. [1000]
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