Suppose small aircraft arrive at a certain airport accordingto a Poisson process with rate a 5 8 per hour, so thatthe number of arrivals during a time period of t hours isa Poisson rv with parameter m 5 8t.a. What is the probability that exactly 6 small aircraftarrive during a 1-hour period? At least 6? At least 10?b. What are the expected value and standard deviationof the number of small aircraft that arrive during a90-min period?c. What is the probability that at least 20 small aircraftarrive during a 2.5-hour period? That at most10 arrive during this period?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Suppose small aircraft arrive at a certain airport according
to a Poisson process with rate a 5 8 per hour, so that
the number of arrivals during a time period of t hours is
a Poisson rv with parameter m 5 8t.
a. What is the
arrive during a 1-hour period? At least 6? At least 10?
b. What are the
of the number of small aircraft that arrive during a
90-min period?
c. What is the probability that at least 20 small aircraft
arrive during a 2.5-hour period? That at most
10 arrive during this period?
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
