Question: Let N(t);t > 0 be a Poisson process having rate parameter 1 = 3. Deter- mine the following expectations: (a) E(N(3)] (b) E(N(2)2) (c) EN(4)N(3)].

Let N(t);t > 0 be a Poisson process having rate

Let N(t);t > 0 be a Poisson process having rate parameter 1 = 3. Deter- mine the following expectations: (a) E(N(3)] (b) E(N(2)2) (c) EN(4)N(3)]. (d) Assume that a device fails when a cumulative effect of k shocks oc- curs. If the shocks happen according to a Poisson process of param- eter 1, what is the density function for the life T of the device

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