6)For a rate A Poisson process we try to stop at the last event before some fixed time T. Our strategy will be to stop at the first event after some time s. We lose if there are no more events after s and before T or if the next event after s is not the last event before T. What is the probability of winning for s fixed? What value of s maximizes this probability? What is the maximum value?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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6)For a rate A Poisson process we try to
stop at the last event before some fixed
time T. Our strategy will be to stop at
the first event after some time s. We
lose if there are no more events after s
and before T or if the next event after s
is not the last event before T. What is
the probability of winning for s fixed?
What value of s maximizes this
probability? What is the maximum value?
Transcribed Image Text:6)For a rate A Poisson process we try to stop at the last event before some fixed time T. Our strategy will be to stop at the first event after some time s. We lose if there are no more events after s and before T or if the next event after s is not the last event before T. What is the probability of winning for s fixed? What value of s maximizes this probability? What is the maximum value?
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