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Suppose passengers arrive at the MTA train station following a Poisson distribution with parameter 9 and...

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Statistics

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)

Answer & Explanation Solved by verified expert
4.0 Ratings (409 Votes)
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    See Answer
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