Question
In: Statistics and Probability
Passengers arriving into Pearson International Airport are to have their temperature check before leaving the airport....
Passengers arriving into Pearson International Airport are to have their temperature check before leaving the airport. Any passengers with a fever are required to go into quarantine. Three Nurses perform the check. An average of 3.84 passengers per minute arrive at the checkpoint and wait in a single line. They are checked by the first available nurse. It takes on average 25 seconds to check a passenger. Assume that inter-arrival times and service times are exponential distribute, FCFS, infinite queue, infinite population size.
(a) What is the probability that a passenger will not have to wait when they arrive at the checkpoint? (6 marks)
(b) On average, how many passengers will be at the checkpoint (waiting & being scanned)? (4 marks)
(c) When the passenger finally reaches the checkpoint, what is the probability it will take 20 seconds or less to check their temperature?
(d) What is the probability there will be more than 2 passengers arriving to the checkpoint in a one min time period.
Solutions
orchestra answered 2 years agoRelated Solutions
Problem 1 Passengers arriving into Pearson International Airport are to have their temperature check before leaving...
Problem 1
Passengers arriving into Pearson International Airport are to
have their temperature check before leaving
the airport. Any passengers with a fever are required to go into
quarantine. Three Nurses perform the
check. An average of 3.84 passengers per minute arrive at the
checkpoint and wait in a single line. They
are checked by the first available nurse. It takes on average 25
seconds to check a passenger. Assume
that inter-arrival times and service times are exponential
distribute, FCFS,...
The number of passengers arriving at a checkout counter of an international airport follows a Poisson...
The number of passengers arriving at a checkout counter of an
international airport follows a Poisson distribution. On average, 4
customers arrive every 5-minutes period. The probability that over
any 10-minute interval, at most 5 passengers will arrive at the
checkout counter is
A:- 0.1221
B:- 0.1250
C:- 0.2215
D:- 0.8088
The number of customers who enter a bank is thought to be
Poisson distributed with a mean equal to 10 per hour. What are the
chances that 2 or...
All airport passengers at the Capital City Airport must pass through a security screening area before...
All airport passengers at the Capital City Airport must pass
through a security screening area before proceeding to the boarding
area. The airport has three screening stations available, and the
facility managers must decide how many to open at any particular
time. The average time for processing one passenger at each
screening station is 0.5 minutes. On Saturday morning the arrival
rate is 3.3 passengers per minute. Assume that processing times at
each screening station follow an exponential distribution and...
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The...
Airline passengers arrive randomly and independently at the
passenger-screening facility at a major international airport. The
mean arrival rate is 11 passengers per minute. Compute the
probability of no arrivals in a one-minute period (to 6 decimals).
Compute the probability that three or fewer passengers arrive in a
one-minute period (to 4 decimals). Compute the probability of no
arrivals in a 15-second period (to 4 decimals). Compute the
probability of at least one arrival in a 15-second period (to 4...
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The...
Airline passengers arrive randomly and independently at the
passenger-screening facility at a major international airport. The
mean arrival rate is 6 passengers per minute.
A. Compute the probability of no arrivals in a one-minute period
(to 6 decimals). B. Compute the probability that three or fewer
passengers arrive in a one-minute period (to 4 decimals). C.
Compute the probability of no arrivals in a 15-second period (to 4
decimals). Compute the probability of at least one arrival in a
15-second...
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The...
Airline passengers arrive randomly and independently at the
passenger-screening facility at a major international airport. The
mean arrival rate is 6 passengers per minute.
a. Compute the probability of no arrivals in a
one-minute period (to 6 decimals).
b. Compute the probability that three or fewer
passengers arrive in a one-minute period (to 4 decimals).
c. Compute the probability of no arrivals in a
15 second period (to 4 decimals).
d. Compute the probability of at least one
arrival in...
A random sample of 19 airline passengers at Hartsfield Jackson International airport showed that the mean...
A random sample of 19 airline passengers at Hartsfield Jackson
International airport showed that the mean time spent waiting in
line to pass though the TSA checkpoint was 31 minutes with a
standard deviation of 7 minutes. Construct a 95 % confidence
interval for the mean waiting time by all passengers in the TSA
checkpoint at this airport. Assume that such waiting time for all
passengers is normally distributed.
A) 31+1.65(7/P19)
B) 31+1.746(7/P19)
C) 31+1.96(7/P19)
D ) 31+2.101(7/P19)
Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The...
Airline passengers arrive randomly and independently at the
passenger-screening facility at a major international airport. The
mean arrival rate is passengers per minute.
a. Compute the probability of no arrivals in a one-minute period
(to 6 decimals).
b. Compute the probability that three or fewer passengers arrive
in a one-minute period (to 4 decimals).
c. Compute the probability of no arrivals in a -second period
(to 4 decimals).
d. Compute the probability of at least one arrival in a -second...
Point to Point Ltd provides a service, transporting passengers from Hosea Kutako International Airport to hotels...
Point to Point Ltd provides a service, transporting passengers
from Hosea Kutako International Airport to hotels in Windhoek City
and the surrounding areas.
It enters a contract with Bust Ltd for the lease of five, 25-seater
buses for a period of 3 years. The lease payments are constant over
the lease term. The market for airport transfer is constantly
changing and Point to Point Ltd may need to use similar 25-seater
buses or large 40-seater buses, depending on whether other...
Point to Point Ltd provides a service, transporting passengers from Hosea Kutako International Airport to hotels...
Point to Point Ltd provides a service, transporting passengers
from Hosea Kutako International Airport to hotels in Windhoek City
and the surrounding areas.
It enters a contract with Bust Ltd for the lease of five,
25-seater buses for a period of 3 years. The lease payments are
constant over the lease term. The market for airport transfer is
constantly changing and Point to Point Ltd may need to use similar
25-seater buses or large 40-seater buses, depending on whether
other...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 1.) Think back to August 6, 1945. The United States has just dropped an atomic weapon...
- Carry out the equipment and operating procedures between injection molding of thermoplastics and injection molding of...
- The cumulative timing approach was used to time a job and its elements. Use the following...
- absorption refection scattering refraction and diffraction can all have an impact on RF signal strength. Identify...
- This is my code I need to complete it? //The code package arraylists; import java.util.ArrayList; import...
- Organization management function at Tesla, and how can they improve the structure
- A company orders every 8 weeks. 52 weeks/8 weeks per order = 6.5 orders per year....
ADVERTISEMENT