Consider a linear death process starting from X (0) Let T be the time to extinction, defined by = 6 with death parameters μm = 1.4. n where n = 1, 2, 3, . . .. T = min{t≥0 : X(t) = 0 | X(0) = 6}. Compute the following: (a) P(T < 0.3)= 0.0015 (b) E[T] = 4.2857

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Consider a linear death process starting from ✗(0) = 6 with death parameters μm
Let T be the time to extinction, defined by
=
T = min{t >0: X(t) = 0 | X(0) = 6}.
Compute the following:
(a) P(T < 0.3) =
0.0015
(b) E[T] = 4.2857
1.4. n where n = 1, 2, 3, ....
Transcribed Image Text:Consider a linear death process starting from ✗(0) = 6 with death parameters μm Let T be the time to extinction, defined by = T = min{t >0: X(t) = 0 | X(0) = 6}. Compute the following: (a) P(T < 0.3) = 0.0015 (b) E[T] = 4.2857 1.4. n where n = 1, 2, 3, ....
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