Unformatted text preview: will begin the process by entering step 1. After step 1, 20% of the parts must be reworked; i.e., returned to step 1, 10% of the parts are thrown away and 70% proceed to step 2. After step 2, 5% of the parts must be returned to the step 1, 10% to step 2, 5% are scrapped, and 80% emerge to be solf for a proﬁt. Formulate a four state Markov chain with states 1,2,3,4 where 3=a part that was scrapped and 4=a part that was sold for a proﬁt. Give the transition matrix. 7. Consider a Markov chain on states { , 1 , 2 } with transition matrix P = . 3 . 3 . 4 . 2 . 7 . 1 . 2 . 3 . 5 . Compute P [ X 16 = 2  X = 0] and P [ X 12 = 2 ,X 16 = 2  X = 0]. Try not to do this by hand. 1...
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 Summer '09
 RESNIK
 Englishlanguage films, Markov chain, hotel B, Upson

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