Question

I am the only bank teller on duty at my local bank. I need to run...

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.

Homework Answers

Answer #1

for 4 decimal places the ans is 0.0037

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Scenario: There is only one teller working at a bank. The teller takes an average of...
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...
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...
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....
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...
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...
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...
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...
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...
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...
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...