Suppose passengers arrive at the MTA train station following a
Poisson distribution with parameter 9 and...
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Suppose passengers arrive at the MTA train station following aPoisson distribution with parameter 9 and the unit of time 1hour.
Next train will arrive either 1 hour from now or 2 hours fromnow, with a 50/50 probability.
i. E(train arrival time)
ii. E(number of people who will board the train)
iii. var(number of people who will board the train)
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i The expectation of train arrival time is 1 x 05 2 x 05 15 ii Given that the train arrives at time t the number ofpassengers arrived will follow Poisson distribution with parameter9t Hence ENumber of people arrived to board the trainThe
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