Question

At a taxi-stop on a busy street, the inter-arrival times of taxis dropping off passengers (and...

At a taxi-stop on a busy street, the inter-arrival times of taxis dropping off passengers (and then being ready for the pick up) have a mean 5 minutes with a standard deviation 1 minute. The taxis are not allowed to wait for customers at the stop. Customers arrive at the stop in a Poisson process once every 6 minutes on the average.

(a) Determine the expected number of customers waiting, when a taxi leaves the stop.

(b)What is the probability that there would be no waiting customer, when a taxi leaves the stop?

(c) Determine the mean waiting time of a customer.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean...
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (i) What is the probability that you wait longer than one hour for a taxi? (ii) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes? (iii) Determine x such that the probability that you wait more than x minutes is 0.10. (iv) Determine x such...
Visitors arrive at Kid’s World entertainment park according to an exponential inter-arrival time distribution with mean...
Visitors arrive at Kid’s World entertainment park according to an exponential inter-arrival time distribution with mean 2.5 minutes. The travel time from the entrance to the ticket window is normally distributed with a mean of 3 minutes and a standard deviation of 0.5 minute. At the ticket window, visitors wait in a single line until one of four cashiers is available to serve them. The time for the purchase of tickets is normally distributed with a mean of five minutes...
Consider a street hot dog vendor that has a demand that follows a Poisson distribution with...
Consider a street hot dog vendor that has a demand that follows a Poisson distribution with mean of 0.75 customer/minute while the time to serve customer follows a negative exponential distribution with the mean of 1 min. 1. Utilization of the vendor 2. The probability that a new customer arrival has to wait 3. The probability that there is no customer in the system 4. What is the probability that the system will have 5 or more customers? 5. Average...
1.1 (M/M/1) model - use the qtsPlus or other software to answer the questions. In a...
1.1 (M/M/1) model - use the qtsPlus or other software to answer the questions. In a grocery store, there is one cashier. Customers arrive at the cashier counter according to a Poisson process. The arrival rate is 18 customers per an hour. Customers are served in order of arrival (FCFS: first come first service). The service time (i.e. the time needed for scanning the items and processing payment) is exponentially distributed. The mean service time is 3 minutes. A) Once...
To manage their rental counter, Too Late can add a computerized check-in option. Upon arrival, customers...
To manage their rental counter, Too Late can add a computerized check-in option. Upon arrival, customers will first go to the check-in machine, enter their reference number, (electronically) sign a waiver, and make a payment. After this step is complete, the customer will go to the attendant on duty to receive the vehicle’s keys and directions to its parking location. If a customer arrives at the check-in station and finds that it is being used by another customer, the incoming...
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...
Customers drop off their prescriptions either in the drive-through counter or in the front counter of...
Customers drop off their prescriptions either in the drive-through counter or in the front counter of the pharmacy. Customers can request that their prescription be filled immediately. In this case, they have to wait between 15 minutes and one hour depending on the current workload. Most customers are not willing to wait that long, so they opt to nominate a pickup time at a later point during the day. Generally, customers drop their prescriptions in the morning before going to...
Customers drop off their prescriptions either in the drive-through counter or in the front counter of...
Customers drop off their prescriptions either in the drive-through counter or in the front counter of the pharmacy. Customers can request that their prescription be filled immediately. In this case, they have to wait between 15 minutes and one hour depending on the current workload. Most customers are not willing to wait that long, so they opt to nominate a pickup time at a later point during the day. Generally, customers drop their prescriptions in the morning before going to...
1) Consider two products A and B that have identical cost, retail price and demand parameters...
1) Consider two products A and B that have identical cost, retail price and demand parameters and the same short selling season (the summer months from May through August). The newsvendor model is used to manage inventory for both products. Product A is to be discontinued at the end of the season this year, and the leftovers will be salvaged at 75% of the cost. Product B will be re-offered next summer, so any leftovers this year can be carried...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT