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The weather in Baton Rouge in the spring can be one of four possible states: Cold...

The weather in Baton Rouge in the spring can be one of four possible states: Cold (C), Mild (M), Hot (H), or Sizzling (S). Below is a transition probability matrix for a Markov Chain model of our weather with the states listed in the order above C,M,H,S.

(1/2 1/4 1/4 0)
(1/5 2/5 1/5 1/5)

(1/5 1/5 1/5 2/5)

(0 1/5 2/5 2/5)

a. If todays weather is cold, what is the probability that it will be hot a week from today? (using computer)

b. If todays weather is cold, what is the probability that it will be sizzling at any time during the next 7 days?

c. If todays weather is cold, what is the conditional probability that it will be hot 7 days from now, given that the weather is never sizzling at any time during the next week?

Math   Statistics-And-Probability   
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