Question

I am the only bank teller on duty at my local bank. I need to run out for 20 minutes, but I do not want to miss any customers. Suppose the arrival of customers can be modeled by a Poisson distribution with mean 3 customers per hour. What’s the probability that 5 or more people arrive in the next 20 minutes? Give your answer to 4 decimal places.

Answer #1

for 4 decimal places the ans is 0.0037

Scenario: There is only one teller working at a bank. The teller
takes an average of 3 minutes to service a customer. Assume that
the time the teller takes to service a customer can be represented
as an Exponential Probability distribution.
Customers arrive at the teller line at the average rate of 1every
10 minutes. Their arrival pattern follows a Poisson
distribution.
Of 200 customers who get serviced by the teller, how many can
expect to be serviced in more...

You work at a bank as a teller and have been asked to create a
contingency plan should more or less than the mean number of
customers show up over a hour span. The current Poisson distributed
mean customers arriving per hour is 7. However, in order to go
above and beyond, you want to present on the likelihood that any
two customers arrive less than 2 minutes apart. Given that, what is
the probability that any two random customers...

You work at a bank as a teller and have been asked to create a
contingency plan should more or less than the mean number of
customers show up over a hour span. The current Poisson distributed
mean customers arriving per hour is 7. However, in order to go
above and beyond, you want to present on the likelihood that any
two customers arrive less than 2 minutes apart. Given that, what is
the probability that any two random customers...

Customers arrive to a savings bank according to a Poisson
distribution with mean 3 per hour. Then, they either complete a
transaction with a bank teller or meet with a financial officer,
and leave the bank when they are done.
What is the probability that exactly 2 customers arrive in the
next three hours?
What is the probability that at least 3 customers arrive in the
next two hours?
What is the probability that nobody arrives in the next 30...

State Bank always has two tellers on duty. Customers arrive to
receive service from a teller at a mean rate of 40 per hour. A
teller requires an average of 2 minutes to serve a customer. When
both tellers are busy, an arriving customer joins a single line to
wait for service. Experience has shown that customers wait in line
an average of 1 minute before service begins.
(a) Describe why this is a queueing system.
(b) Determine the basic...

1. Willow Brook National Bank operates a drive-up teller window
that allows customers to complete bank transactions without getting
out of their cars. On weekday mornings, arrivals to the drive-up
teller window occur at random, with an arrival rate of 6 customers
per hour or 0.1 customers per minute. Also assume that the service
times for the drive-up teller follow an exponential probability
distribution with a service rate of 54 customers per hour, or 0.9
customers per minute. Determine the...

A study shows that at a local bank, the time bank customers
spent from the moment they walk into the bank until they leave the
bank can be modeled as a NORMAL random variable, with the mean of
20 minutes and the standard deviation of 4 minutes.
(a) If you just walk into the bank, what is the probability that
you will stay in the bank longer than 25 minutes?
(b) For the next 10 customers walking into the bank,...

Exponential/Poisson
Megacity Bank operates a drive-up teller window that
allows customers to complete bank transactions without having to
get out of their car. Megacity Bank waiting line times follow an
exponential distribution with a service rate of 36 customers per
hour.
A.What is the probability that the time to service is 1 minute
or less? (show your formula with the numbers plugged in, as well as
the answer. You may use the e^(-λ) table, an advanced calculator or
excel to...

Let X = the time between two successive arrivals at the drive-up
window of a local bank. If X has an exponential distribution with λ
= 1/3 , compute the following:
a. If no one comes to the drive-up window in the next 15 minutes
(starting now), what is the chance that no one will show up during
the next 20 minutes (starting now)?
b. Find the probability that two people arrive in the next
minute.
c. How many people...

1) A local bank has determined that on average a teller can
process 5 transactions per 15 minutes. What is the new mean of
processed transactions if the time is changed to a 25 minute
interval?
Group of answer choices
8.33
5
7
Unknown
2) Fifteen cars are inspected for California emissions
compliance. Twelve were found to be compliant and 3 were not. A
sample of 7 cars is chosen at random. What is the probability that
all 7 cars...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 12 minutes ago

asked 22 minutes ago

asked 23 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago