probability of arrivals at an airport

[gastonj]

:?:
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.

 

[JakeD]

:?:
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.

This sounds like a Poisson process.

 

[tkhunny]

You may have to adjust your arrival rate to the 15 sec version, rather than the 1 min version given.

 

[JakeD]

You may have to adjust your arrival rate to the 15 sec version, rather than the 1 min version given.

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).