Professor Hay has breakfast at Hogee’s every morning
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Professor Hay has breakfast at Hogee’s every morning

MARKOU CHAIN

Professor Hay has breakfast at Hogee’s every morning. He either orders an Egg Scramble, or a Tofu Scramble. He never orders Eggs on two consecutive days, but if he does order Tofu one day, then the next day he can order Tofu or Eggs with equal probability.

a) Write a transition matrix for this problem.

b) If Professor Hay has Tofu on Monday, what is the probability he will have Tofu on Tuesday?

c) If Professor Hay has Eggs on Monday, find the probability he will have Tofu on Wednesday.

d) If Professor Hay has Eggs on Monday, what is the probability he will have Tofu on Thursday?

Hint
EconomicsTransition matrix may refer to: The matrix associated with a change of basis for a vector space. Stochastic matrix, a square matrix used to describe the transitions of a Markov chain. State-transition matrix, a matrix whose product with the state vector at an initial time gives at a later time ....

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