Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be considered. Suppose small aircrafts arrive at a certain airport, according to...


Changes in airport procedures require considerable planning. Arrival<br>rates of aircraft are important factors that must be considered. Suppose small aircrafts arrive<br>at a certain airport, according to a Poisson process, at the rate of 6 per hour.<br>a) What is the probability that the next small aireraft arrives within the next five minutes?<br>b) Given that no aircraft arrives from 10:00 to 10:20. What is the probability that the next<br>aircraft will arrive between 10:20 and 10:25?<br>c) What is the probability that exactly four aircrafts arrive in the next hour?<br>d) What is the probability that between 700 to 740 aircrafts arrive within the next five<br>days? [Hint: Use Normal Approximation]<br>

Extracted text: Changes in airport procedures require considerable planning. Arrival rates of aircraft are important factors that must be considered. Suppose small aircrafts arrive at a certain airport, according to a Poisson process, at the rate of 6 per hour. a) What is the probability that the next small aireraft arrives within the next five minutes? b) Given that no aircraft arrives from 10:00 to 10:20. What is the probability that the next aircraft will arrive between 10:20 and 10:25? c) What is the probability that exactly four aircrafts arrive in the next hour? d) What is the probability that between 700 to 740 aircrafts arrive within the next five days? [Hint: Use Normal Approximation]

Jun 08, 2022
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