Poisson 1

Poisson 1 - 1. Trains arrive at a train station at a rate...

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1. Trains arrive at a train station at a rate of 1 every 30 minutes. a. Calculate the probability that at least two trains arrive in the first hour, but no more than three trains arrive in the first two hours. b. Calculate the probability that at least two trains arrive in the first hour, and at least 3 trains arrive in the first two hours. 2. There are two types of trains that arrive at a train station. Express trains arrive at a rate of 1 per hour while local trains arrive at a rate of 3 per hour. Calculate the probability that at least four trains arrive at the station in the next hour with no more than two of the trains being express trains. 3. There are two types of trains that arrive at a train station. Express trains arrive at a rate of 1 per hour while local trains arrive at a rate of 3 per hour. Given that exactly three trains arrive at the station in the next hour, calculate the probability that at least two of the trains are express trains.
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This note was uploaded on 02/17/2012 for the course STAT 490 taught by Professor Na during the Fall '11 term at Purdue.

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Poisson 1 - 1. Trains arrive at a train station at a rate...

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