A car rental company operates two stations, one in City A and one in City B. Every day, 80% of the cars in A remain in A while the rest move to B, and 90% of the cars in B remain in B, while the rest move to A. (a) Write down the stochastic matrir M describing the movement of cars between the two cities.

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Please answer the question in the file attached.  I do not understand the concept, so please include as much detail as possible.

A car rental company operates two stations, one in City A and one in City B. Every
day, 80% of the cars in A remain in A while the rest move to B, and 90% of the cars
in B remain in B, while the rest move to A.
(a) Write down the stochastic matriz M describing the movement of cars between the
two cities.
Transcribed Image Text:A car rental company operates two stations, one in City A and one in City B. Every day, 80% of the cars in A remain in A while the rest move to B, and 90% of the cars in B remain in B, while the rest move to A. (a) Write down the stochastic matriz M describing the movement of cars between the two cities.
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