a) What is the probability that exactly 4 small air- craft arrive during a 1-hour period? b) What is the probability that at least 4 arrive during a 1-hour period? (c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft ar- rive during a working day?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
5.66 Changes in airport procedures require consid-
erable planning. Arrival rates of aircraft are impor-
tant factors that must be taken into account. Suppose
small aircraft arrive at a certain airport, according to
a Poisson process, at the rate of 6 per hour. Thus, the
Poisson parameter for arrivals over a period of hours is
µ = 6t.
(a) What is the probability that exactly 4 small air-
craft arrive during a 1-hour period?
(b) What is the probability that at least 4 arrive during
a 1-hour period?
(c) If we define a working day as 12 hours, what is
the probability that at least 75 small aircraft ar-
rive during a working day?
Transcribed Image Text:5.66 Changes in airport procedures require consid- erable planning. Arrival rates of aircraft are impor- tant factors that must be taken into account. Suppose small aircraft arrive at a certain airport, according to a Poisson process, at the rate of 6 per hour. Thus, the Poisson parameter for arrivals over a period of hours is µ = 6t. (a) What is the probability that exactly 4 small air- craft arrive during a 1-hour period? (b) What is the probability that at least 4 arrive during a 1-hour period? (c) If we define a working day as 12 hours, what is the probability that at least 75 small aircraft ar- rive during a working day?
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