A critical part of a machine has an exponentially distributed
lifetime with parameter α. Suppose
that n spare parts are initially at stock, and let N(t) be the
number of spares left at time t.
(a) Find P(N(s + t) = j | N(s) = i).
(b) Find the transition probability matrix.
(c) Find Pj (t).
in Pj(t) j is in lower script
A critical part of a machine has an exponentially distributed lifetime with parameter α. Suppose that...
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