Question
In: Statistics and Probability
4. A small airport has flights to only two cities, A and B. Suppose they get...
4. A small airport has flights to only two cities, A and B.
Suppose they get an average of 40 customers per
hour who want to fly to city A and 30 customers per hour who want
to fly to city B. If these are independent
Poisson processes, then find the probability that
a) (3 pts) there are 7 or more customers who want to fly to city A
in the next 6 minutes. Give your answer
to three decimal places.
b) (3 pts) 5 out of the next 8 customers want to fly to city A.
Give your answer to three decimal places.
c) (3 pts) if 15 customers who want to fly to city B arrive in the
next 30 minutes, then find the probability
that exactly four of them arrived in the first 5 minutes. Give your
answer to three decimal places.
Solutions
orchestra answered 1 year agoRelated Solutions
Listed below are costs (in dollars) of roundtrip flights between two cities. All flights involve one...
Listed below are costs (in dollars) of roundtrip flights
between two cities. All flights involve one stop and a two-week
stay. Find the coefficient of variation for each of the two sets
of data, then compare the variation
30 days in advance: 246 247 317 263 269 275 297
1 day in advance: 455 627 554 991 627 1015 566
1. The coefficient of variation for the prices of tickets
purchased 30 days in advance is __% (round to one...
Listed below are costs (in dollars) of roundtrip flights between two cities. All flights involve one...
Listed below are costs (in dollars) of roundtrip flights
between two cities. All flights involve one stop and a two-week
stay. Find the coefficient of variation for each of the two sets
of data, then compare the variation.
30 days in advance: 266 292 273 252 278 291 314
One day in advance: 455 615 555 964 615 1050 540
1. The coefficient of variation for the prices of tickets
purchased 30 days in advance is %
2. The coefficient...
Suppose the demand for pizza in a small isolated town is p = 20 - 2Q. There are only two firms, A and B. Each has a cost function TC = 4 + 4Q.
Suppose the demand for pizza in a small isolated town is p = 20 - 2Q. There are only two firms, A and B. Each has a cost function TC = 4 + 4Q.
Determine the equilibrium quantities of each if they form a cartel and share the market.
Determine the equilibrium quantities of each if both behave as Cournot duopolists.
Determine the equilibrium quantities of each if firm A is the Stackelberg leader.
Suppose that there are only two small countries in the world: Ascot, with a population of...
Suppose that there are only two small countries in the world:
Ascot, with a population of 29,400 people, and Delwich, with a
population of 21,000 people. Ascot's GDP is equal to $150 million
while Delwich's GDP is $210 million. Delwich's GNP has been
estimated to be equal to $240 million. The revenue earned by firms
that operate in Delwich but are headquartered in Ascot is equal to
$60 million.
Given the data above, Ascot's GNP is $___ million. (Enter
your...
A medium-sized airport has a limited number of international flights that arrive and require immigration and...
A medium-sized airport has a limited number of international
flights that arrive and require immigration and customs. The
airport would like to examine the customs staffing and establish a
policy on the number of passengers who should have bags searched
and the staffing of the customs facility. The number of passengers
who arrive on these large planes is uniformly distributed between
240 and 350, and the simulation is to run until all passengers on
the plane have been completely processed...
The airline carriers schedule the flights between pairs of cities through the shortest routes. Two airline...
The airline carriers schedule the flights between pairs of
cities through the shortest routes. Two airline carriers are called
equivalent if they offer the flights between the same pairs of
cities. Design an algorithm with less than cubic time complexity to
compare whether two given airline carriers are equivalent or not.
Direct and connecting flights are not differentiated here.
Your flight has been delayed: At Denver International Airport, 84% of recent flights have arrived on...
Your flight has been delayed: At Denver International Airport,
84% of recent flights have arrived on time. A sample of 14 flights
is studied. Round the probabilities to four decimal places.
(a) Find the probability that all
14 of the flights were on time
(b) Find the probability that exactly
12 of the flights were on time.
(c) Find the probability that
12 or more of the flights were on time.
(d) Would it be unusual for
13 or more...
Suppose an audit process is taking place at a small airport, and the head auditor arrives...
Suppose an audit process is taking place at a small airport, and
the head
auditor arrives randomly throughout the day and assesses the
operation of the airport.
She shows up in one-hr intervals at a time. The time between
aircraft arrivals at this
small airport is exponentially distributed with a mean of 75
minutes. You may assume
the operation of the small airport is independent of the time
interval under consideration.
What is the probability that at least four aircrafts...
Suppose an audit process is taking place at a small airport, and the head auditor arrives...
Suppose an audit process is taking place at a small airport, and
the head
auditor arrives randomly throughout the day and assesses the
operation of the airport.
She shows up in one-hr intervals at a time. The time between
aircraft arrivals at this
small airport is exponentially distributed with a mean of 75
minutes. You may assume
the operation of the small airport is independent of the time
interval under consideration.
a) What is the probability that at least four...
A small college has only 4 students and offers only 3 majors: Art, English, and Physics....
A small college has only 4 students and offers only 3 majors:
Art, English, and Physics.
Suppose that the 4 students are assigned to these 3 majors at
random with probabilities P[Art] = 1/4, P[English] = 1/2, P[Math] =
1/4.
Let A, E, and M denote the numbers of students assigned to Art,
English, and Math, respectively
(i) What is the probability distribution of A? E? M? State the
expected values and variances of each.
(ii) What is the joint...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Enumerations Create an advanced enumeration to represent months (JANUARY – DECEMBER) called enuMonths Add internal properties...
- What is the minimum size of the automorphism group of a simple directed graph having more...
- The birthday paradox says that the probability (chance) that two people in a room will have...
- #include <iostream> #include "lib.hpp" using namespace std; int main() { // declare the bool bool...
- Why do we compare means instead of individual scores? for comparing average SAT test scores across...
- NPV Your division is considering two projects with the following cash flows (in millions): 0...
- The equivalent synchronous impedance of a 25kVA, 400V three-phase Y-connected synchronous generator is 0.05 + j1.6...
ADVERTISEMENT