Question

Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate...

Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution).

  1. If an auto has just arrived, what is the probability that the next auto will arrive after 2 seconds?
    1. 0.000
    2. 1.000
    3. 0.183
    4. 0.632
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate...

    Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution). If an auto has just arrived, what is the probability that the next auto will arrive in the next 3 to 10 seconds? 0.078 0.024 1.000 0.000

  • Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate...

    Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution). If an auto has just arrived, what is the probability: a) That the next auto will arrive within 3 seconds? b) That the next auto will arrive in the next 3 to 10 seconds? c) That the next auto will arrive after 2 seconds?

  • Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate...

    Automobiles arrive at a toll plaza located at the entrance to a bridge at a rate of 51 per minute during the 5:00 to 6:00 p.m. hour (assume Exponential distribution). If an auto has just arrived, what is the probability that the next auto will arrive within 3 seconds? 1.00 0 0.284 0.922

  • Autos arrive at a toll plaza located at the entrance to a bridge at a rate...

    Autos arrive at a toll plaza located at the entrance to a bridge at a rate of 10 per minute during the 5:00-to-6:00 P.M. hour. Determine the following probabiiies assuming that an auto has just arrived. a. What is the probability that the next auto will arrive within 6 seconds (0.1 minute)? b. What is the probability that the next auto will arrive within 3 seconds (0.05 minute)? c. What are the answers to (a) and (b) if the rate...

  • QUESTION 26 At an entrance to a toll bridge, four toll booths are open. Vehicles arrive...

    QUESTION 26 At an entrance to a toll bridge, four toll booths are open. Vehicles arrive at the bridge at an average rate of 900 veh/h, and at the booths, drivers take an average of 12 seconds to pay their tolls. Both the arrival and departure headways can be assumed to be exponentially distributed How would the average queue length change if a fifth toll booth were opened? a. The average queue length is reduced by 1.17 vehicles D.The average...

  • 1) A toll plaza has 5 booths, with each booth capable of servicing 50 cars per...

    1) A toll plaza has 5 booths, with each booth capable of servicing 50 cars per hour. Cars arrive at the plaza at the rate of 225 cars per hour. Make the standard assumptions of a Poisson distribution for arrivals, and an Exponential distribution for service times, and calculate the following: a) What is the probability of zero cars in the toll plaza? b) What is the average length (in cars) of the (total) queue?

  • 7.1. Cars arrive to a toll booth 24 hours per day according to a Poisson process...

    7.1. Cars arrive to a toll booth 24 hours per day according to a Poisson process with a mean rate of 15 per hour. (a) What is the expected number of cars that will arrive to the booth between 1:00 p.m. and 1:30 p.m.? (b) What is the expected length of time between two consecutively arriving cars! (c) It is now 1:12 p.m. and a car has just arrived. What is the expected number of cars that will arrive between...

  • PROBLEM 18.1 (pg 132, #86) People randomly arrive for treatment at an emergency room at a rate of...

    PROBLEM 18.1 (pg 132, #86) People randomly arrive for treatment at an emergency room at a rate of 3.8 per hour. Let Y be the amount of time (in hours) until the next patient arrives in the emergency room. a. The random variable Y has an exponential distribution with parameter λ b. Find the probability no patients arrive over the next 2 hours or P(Y> 2). c. Find the median of Y d. What is the expected elapsed time until...

  • In this exercise, we will re-visit the case study “A day in the life” at the...

    In this exercise, we will re-visit the case study “A day in the life” at the end of Chapter 1. Answer these questions: 1- Based on the information provided in the case, what kind of project management structure you think this organization uses? 2- What conclusions can you draw about the organization culture? Use dimensions introduced in Chapter 3 to support your answer. Case study: A Day in the Life Rachel The project manager of a large information systems project...

  • Three days before Hurricane Harvey hit Texas, hardware retailer Home Depotreceived an alert from a weather...

    Three days before Hurricane Harvey hit Texas, hardware retailer Home Depotreceived an alert from a weather service and activated its disaster-response plan to get supplies to those in the storm’s path, while turning a profit, too. Over the next three days—as Harvey gained power and made landfall early on Saturday—the world’s largest home improvement retailer set up a temporary hurricane command center at its Atlanta headquarters. It told managers to freeze prices and move plywood, generators, chainsaws and other storm-related...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT