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The Department of Statistics has three printers. Each printer breaks down independently at rate t1, then it is sent to the repair shop. The repair...

I have have the question and its answer in the uploaded picture, but I could not understand how q00 equals negative lambda, and values for q10, q20, q30. Can anyone help me explain it?


IMG_0554.jpg

IMG_0554.jpg

3. The Department of Statistics has three printers. Each printer breaks down independently
at rate t1, then it is sent to the repair shop. The repair shop can only repair one printer at a time and each printer takes an exponential amount of time with parameter PL to repair. Let X ( t) denote the number of working printers. a) Identify all infinitesimal parameters of X ( t). qua—'7'L ‘9'01_1 902:0 I903—“
"310:!l qlf'l‘fl 9'12:2L 413—0
920:0 911—2!i 'Ei'22=“7‘~‘2li l5323—)L

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