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April 23, 2014

April 23, 2014

Posted by **Sally** on Sunday, February 15, 2009 at 10:10am.

a) Give the transition matrix P for T.

- math -
**Damon**, Sunday, February 15, 2009 at 11:14amIf machine is working on day 0

prob working on day 1 = .9

prob broken on day 1 = .1

If machine is broken on day 0

prob working on day 1 = .8

prob broken on day 1 = .2

so

working broken 1 = working broken 0 *

.9 .1

.8 .2

for example if working day 0

(doing second row with / because of font text limitation here)

[W1 B1] = [ 1 0 } [ .9/.8 .1/.2 ]

= [.9 .1]

then

W2 B2 = [.9 .1][ .9/.8 .1/.2 ]

= [.81+.08 .09+.02 ]

= [.89 .11 ]

and

Wn Bn = [1 0] *

| .9 .8 |^n

| .8 .2 |

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