probability of arrivals at an airport

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gastonj

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Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers a minute.

a. Compute the probability of no arrivals in a 15-second period.

d. Compute the probability of at least one arrival in a 15-second period.
 
gastonj said:
:?:
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers a minute.

a. Compute the probability of no arrivals in a 15-second period.

d. Compute the probability of at least one arrival in a 15-second period.
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This sounds like a Poisson process.
 
You may have to adjust your arrival rate to the 15 sec version, rather than the 1 min version given.
 
tkhunny said:
You may have to adjust your arrival rate to the 15 sec version, rather than the 1 min version given.
Click to expand...
There is a theorem for Poisson processes that gives you the probability mass function P of the number of arrivals in time periods of different lengths. The questions require using that PMF. Specifically, you need P(0).
 
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