a) What is the probability that the next small aircraft 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?
a) What is the probability that the next small aircraft 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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28541f55-435c-4c6c-bef4-d2ae84f3b478%2F5c17e62e-4e42-4080-944f-7b02af9ab7da%2Fz80n05o_processed.jpeg&w=3840&q=75)
Transcribed Image 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]
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