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Question: An airport has two concourses. Concourse I passengers arrive at a rate of one every 15 ± 2 seconds. Concourse 2 passengers arrive at a rate of one every 10 ± 5 seconds. It takes 30 ± 5 seconds to walk down concourse I and 35 ± 10 seconds to walk down concourse 2. Both concourses empty into the main lobby, adjacent to the baggage claim. It takes 10 ± 3 seconds to reach the baggage claim area from the main lobby. Only 60% of the passengers go to the baggage claim area. Simulate the passage of 500 passengers through the airport system. How many of these passengers went through the baggage claim area? In this problem, the expected number through the baggage claim area can be computed by 0.60(500)=300. How close is the simulation estimate to the expected number? Why the difference?
Define Y(t) = X1 (t) + X2(t) at any time t. Argue that {Y(t), t ≥ 0} is a continuous-time Markov Chain on the states {0, 1, 2} and determine its generator matrix
Given a positive integer n, generate a simple graph with n vertices by producing an adjacency matrix for the graph so that all simple graphs with n vertices are equally likely to be generated.
What would be the excell formula to solve the following equation? I know the answer x = 6.39 % but i can not seem to be able to create a formula in excell to make it work.
Find the points on the curve whose equation is x2 + y2 = 16 nearest and farthest from (a) (8, 0) (b) (6, 2) (c) (2, 3).
Compute the estimate for the standard error of the difference between two proportions.
In the back of an old cupboard you discover a note signed by a pirate famous for his bizarre sense of humor and love of logical puzzles.
Given a list of words and the empirical probabilities they occur in spam e-mails and in e-mails that are not spam, determine the probability that a new e-mail message is spam.
There are 7 people fishing at Lake Connor: 3 have fishing licenses, and 4 do not. An inspector chooses two of the people at random. What is the probability that both people have licenses?
If a ball is thrown into the air with a velocity of 40ft/s, its height in feet after "t" seconds is given by y = 40t-16t^2. a) Find the average velocity for the time period beginning when t=2 and lasting
the area of a rectangular room is 392 feet squared. the length is twice the width. what are the dimensions of the room?
There are 20 pieces of candy in the box.If 15 of them are hard candies, what percentage of the candies in the box are hard candies?
Design a nonslender circular column with six vertical rebars and circumferential rebar cage, subjected to a factored ultimate loading Vu = 3.78 × 106 N.
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