In: Statistics and Probability
Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α = 8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter
μ = 8t.
What is the probability that at least 7 small aircraft arrive during a 1-hour period?
What is the probability that at least 11 small aircraft arrive during a 1-hour period?
What is the probability that at least 23 small aircraft arrive during a 2.5-hour period?
What is the probability that at most 11 small aircraft arrive during a 2.5-hour period?