Question

A bank operates a drive-up facility and a walk-up window. On a randomly selected day, let...

A bank operates a drive-up facility and a walk-up window. On a randomly selected day, let X be the proportion of time the drive-up facility is in use, and Y be the proportion of time the walk-up window is in use. The joint support is Ω = {0 ≤ X ≤ 1, 0 ≤ Y ≤ 1}, and the joint pdf is given by

f (x, y) = (6/5)*(x + y^(2) ) where (x, y) ∈ Ω

Find the probability that neither facility is busy more than 1/4 of the time.

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
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions...
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 24 customers per hour or 0.4 customers per minute. Also assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute. Determine the probabilities...
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. Suppose that X has an exponential distribution with an average time between arrivals of 4 minutes. a. A car has just left the window. What is probability that it will take more than 4 minutes before the next drive-up to the window? b. A car has just left the window. What is the probability that it will take more than 5 minutes before...
Problem 11-04 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to...
Problem 11-04 (Algorithmic) 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 24 customers per hour or 0.4 customers per minute. Also assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6 customers per minute....
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, compute the following: a) The expected time between two successive arrivals b) The standard deviation of the time between success arrivals c) Calculate the probability P (X≤3) d) Calculate the probability P(2≤X≤5)
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...
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...
Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions...
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 30 customers per hour or 0.5 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour, or 0.6...
A Security Pacific Bank branch has opened up a drive through teller window. There is a...
A Security Pacific Bank branch has opened up a drive through teller window. There is a single service lane, and customers in their cars line up in a single line to complete bank transactions. The average time for each transaction to go through the teller window is exactly four minutes. Throughout the day, customers arrive independently and largely at random at an average rate of ten customers per hour. What is the probability that a customer gets to complete his/her...
Problem 15-3 (Algorithmic) Willow Brook National Bank operates a drive-up teller window that allows customers to...
Problem 15-3 (Algorithmic) 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 18 customers per hour or 0.3 customers per minute. In the same bank waiting line system, assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 30 customers per...
Let X be a randomly selected real number from the interval [0, 1]. Let Y be...
Let X be a randomly selected real number from the interval [0, 1]. Let Y be a randomly selected real number from the interval [X, 1]. a) Find the joint density function for X and Y. b) Find the marginal density for Y. c) Does E(Y) exist? Explain without calculation. Then find E(Y).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Describe the major functions of the left and right hemisphere. What types of behaviors are expressed...
    asked 6 minutes ago
  • 3. A fair coin is flipped 4 times. (a) What is the probability that the third...
    asked 38 minutes ago
  • An engineer wants to know if the mean strengths of three different concrete mix designs differ...
    asked 38 minutes ago
  • The National Football League (NFL) records a variety of performance data for individuals and teams. To...
    asked 48 minutes ago
  • Associated Strategies obtained significant influence over Cece Corporation by buying 30% of Cece’s 50,000 outstanding shares...
    asked 50 minutes ago
  • A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is...
    asked 54 minutes ago
  • (1)         For this discussion, I would like for you to identify and describe two out of...
    asked 55 minutes ago
  • Determine the open intervals on which the graph is concave upward or concave downward. (Enter your...
    asked 55 minutes ago
  • 9- What is the most widely used technique for determining the best combination of debt and...
    asked 55 minutes ago
  • Katsumoto Inc. (Katsumoto) manufactures and sells collectible swords. Katsumoto currently operates at 80% of its 15,000-unit...
    asked 57 minutes ago
  • A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size...
    asked 1 hour ago
  • Discuss why the longer-term generation of positive free cash flow is important to the providers of...
    asked 1 hour ago