Question: At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume that

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can inspect vehicles at the rate of 12 per hour in an exponentially distributed fashion.

a. What is the average length of the waiting line?

b. What is the average time that a vehicle must wait to get through the system?

c. What is the utilization of the inspector?

d. What is the probability that when you arrive there will be three or more vehicles ahead of you?

Step by Step Solution

★★★★★

3.42 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Use model 1 10 per hour 12 per hour a 417 people b 5 5 hours o... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

287-B-M-L-S-C-M (1470).docx

120 KBs Word File

Students Have Also Explored These Related Management Leadership Questions!

Question 1 (22 points) Below you find the 2021 balance sheet of Abana Inc. and forecasts for the 2022 and 2023 balance sheets and income statements. (All values are book values.) Aband's cost of...

Is it accurate to say that there is only one correct answer to every tax research question? Discuss the reasoning for your response. In what ways does your answer affect how the tax research process...

Assume that there is only one transposition error in the following trial balance. Identify the incorrect amount, and correct the trial balance. FISHER SERVICES Trial Balance December 31, 2014 $ 2,500...

In the lemons model, there is only one price even though the products differ in quality. Why is that? What factors deter-mine that price? How does the price affect the quantities traded of the...

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can...

At a border inspection station, vehicles arrive at the rate of 1 0 per hour in a Poisson distribution. For simplicity in this problem, assume there is only one lane and one inspector, who can inspect...

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume that there is only one lane and one inspector, who can...

Item 1 3 5 points Item 1 3 At a border inspection station, vehicles arrive at the rate of 1 0 per hour in a Poisson distribution. For simplicity in this problem, assume there is only one lane and one...

At a border inspection station, vehicles arrive at the rate of 10 per hour in a Poisson distribution. For simplicity in this problem, assume there is only one lane and one inspector, who can inspect...

For this assignment, you are to post a summation of a newspaper, journal, magazine or Internet article that pertains to a recently reported ethical issue in the healthcare profession. The article...

In 2021, Ralph is age 29 and has a TFSA account with his Credit Union and he also has a TFSA account with Big Bank. He has provided you with an overview of his transactions. Credit Union Big Bank...

7 1 Q ] Let f ( x ) = x 2 2 x . Which of the following is equal to f ' ( x ) ? ( A ) lim h 0 ( x h ) 2 2 x - x 2 - 2 x h ( B ) lim h 0 ( x h ) 2 2 ( x h ) - x 2 - 2 x h ( C ) lim h 0 ( x h ) 2 2 ( x...

Sally takes the same bus to work every morning. Let X = the amount of time (in minutes) that she has to wait for the bus on a randomly selected day. The probability distribution of X can be modeled...

What pressure gradient is required to accelerate water ( = 1000 kg/m 3 ) in a horizontal pipe at a rate of 7.7 m/s 2 ?

Compute the maturity value for a four-month, 5.25% promissory note for $620 issued May 25, 2023.

MIT computer science professor Harold Abelson has said, In todays online world, what your mother told you is true, only more so: people really can judge you by your friends. Have you ever been upset...

19. a. Your client chooses to invest 70% of a portfolio in your fund and 30% in a T-bill money market fund. What is the expected return and standard deviation of your clients portfolio? b. Suppose...

Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one...

Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive- up fast- food establishments. The Burro- Master 9000 requires a constant 45...

The Bijou Theater shows vintage movies. Customers arrive at the theater line at the rate of 100 per hour. The ticket seller averages 30 seconds per customer, which includes placing validation stamps...

Use the following table: Average return Large stocks 11.98% Small stocks 16.68 Long-term corporate bonds 6.34 Long-term government bonds 6.10 U.S. Treasury bills 3.94 Inflation 3.10 Determine the...

Could someone please help me with this question DEFINITION A set S is said to be compact if whenever it is contained in the union of a pact iff cover of Sinsof open sets, it is contained in the union...

Coase Specialty Paints has been quite successful and has $1,500,000 cash to be invested. Ronald and his management team have developed four potential investments in addition to leaving the cash in a...