In a linear birth and death process with birth rate= death rate a >0, assume that...

 

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In a linear birth and death process with birth rate= death rate a >0, assume that there are only two events (an event is a death or a birth) occurred in time interval [0, 2t]. One occurred at time t and the other occurred at time 2t. (a) What is the expected population size at time 2t, if the initial population size is n=2? (Express your answer in terms of a) (b) Find this answer as a goes to 0. In a linear birth and death process with birth rate= death rate a >0, assume that there are only two events (an event is a death or a birth) occurred in time interval [0, 2t]. One occurred at time t and the other occurred at time 2t. (a) What is the expected population size at time 2t, if the initial population size is n=2? (Express your answer in terms of a) (b) Find this answer as a goes to 0.

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a The expected population size at time 2t is given by the following EN2t PN2t 0EN2tN2t 0 PN... View the full answer