13. Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the weeknight evening, customers arrive at Movies Tonight at the average rate of 1.25 customers per minute. The checkout clerk can serve an average of two customers per minute. Assume Poisson arrivals and exponential service times. What is the probability that no customers are in the system? What is the average number of customers waiting services? What is the average time a customer waits for service to begin? Do the operating characteristics indicate that the one-clerk check out system provides an acceptable level of service?

13. Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the weeknight evening, customers arrive at Movies Tonight at the average rate of 1.25 customers per minute. The checkout clerk can serve an average of two customers per minute. Assume Poisson arrivals and exponential service times. What is the probability that no customers are in the system? What is the average number of customers waiting services? What is the average time a customer waits for service to begin? Do the operating characteristics indicate that the one-clerk check out system provides an acceptable level of service?

Name: 13. Movie Tonight is a typical video and DVD movie rental outlet for
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 13. Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers.During the weeknight evening, customers arrive at Movies Tonight at the average rate of 1.25customers per minute. The checkout clerk can serve an average of

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Suppose the probability of getting an "A" in a certain class is 0.22. A group of 5 friends is taking…

A: Here we want to Determine the probability that none of the friends earn an "A" in the class.

Q: The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution…

Q: 20 dice were rolled. die that shows a number different from 1 is rolled again. Find the probability…

A: No. of dice rolledIf a die shows , it'll be rolled again.The probability distribution function of…

Q: Eighteen percent of adults in Austria have completely paid off their house mortgage. You randomly…

A: Let X denote the number of 10 adults have completely paid off their house mortgage. Then X follows a…

Q: Abusiness graduate wants to get a job in any one of the top 10 accounting firms. Applying to any of…

A: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have solved…

Q: You roll two six-sided dice numbered from one through six. What is the probability that the maximum…

A: Given that Two six sided dice are roll. Sample space=S={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: The accompanying table shows the numbers of male and female students in a particular country who…

A: The table shows the numbers of male and female students in a particular country who received…

Q: On the average, a certain computer part lasts ten years. The length of time the computer part lasts…

A: The random variable which has a value in the form of the interval is called as a continuous random…

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Given that P(A)=0.12 P(B) =0.39 P(A and B) = 0.31

Q: A doctor preformed a study on 100 patients taking medication for the same illness. At the end of the…

A: Design of experiments

Q: that Serena Williams’ probability of winning a final is her lifetime singles final winning…

A: Consider a random variable X which represent the number of failures before 2 success . X can be…

Q: While gathering eggs one day, Lisa has 15 eggs when Liana has 20 eggs at the moment when they…

A: Total number of eggs that Lisa has to throw at Liana = 15 Probability of rotten egg = 10% = 0.1 Let…

Q: A mobile operator company has to deal with 12 site down issues per hour. What is the probability…

A: Answer :

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: The question is about probability.Given :Probability of having 3 or more sacks in the game =…

Q: Marty's Barber Shop has one barber. Customers have an arrival rate of 1.6 customers per hour, and…

A: Hi thank you for posting this question, since you have posted multiple question we have solve first…

Q: ind the probability that in a randomly selected office hour, the number of student arrivals is 66.

A: A statistics professor finds that when he schedules an office hour for student help, an average of 3…

Q: 34% that a stock investement will end up in a total loss what is the chance that 1 of 3 investments…

A: It is given that, 34% that a stock investment will end up in a total loss. It means that the…

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Given data: The given probability that the Tampa Bay Buccaneers defend three or more sacks in a…

Q: he number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4 per…

A: Given, number of accidents per week (lamda)=4 Poission distribution is P(X=x)=e-lamda*lamdaxx!

Q: Please give details on steps used every step of the way. Three servers (A, B, C) are busy when a job…

A: i. To determine the expected time until the job is assigned, we need to calculate the expected…

Q: A statistician wants to know whether newborn baby boys or newborn baby girls cry more. Consider the…

A: Both matched pairs t - test and 2 sample t - test are used for comparing the means of two groups.…

Q: An airline estimates that 6% of people booked on their flights do not show up. If the airline books…

A: Let X be the random variable from binomial distribution with probability of will not show up (q)= 6%…

Q: Doctors have indicated that 33% of the US population has A+ blood which is the second most common…

Q: According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that…

A: Let A denote the event that the Tampa Bay Buccaneers will score a touchdown on their opening drive…

Q: The number of death due to diabetes and kidney disease for an American during 2015 is respectively…

A: The number of death due to diabetes and kidney disease for an American during 2015 is respectively…

Q: Complaints about an Internet brokerage firm occur at a rate of 5 per day. The number of complaints…

A: Let X be the no. of complaints in a day. From the given information, the no. of complaints about an…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

13. Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers.
During the weeknight evening, customers arrive at Movies Tonight at the average rate of 1.25
customers per minute. The checkout clerk can serve an average of two customers per minute.
Assume Poisson arrivals and exponential service times.
What is the probability that no customers are in the system?
What is the average number of customers waiting services?
What is the average time a customer waits for service to begin?
Do the operating characteristics indicate that the one-clerk check out system provides an
acceptable level of service?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

2. According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.07. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.30. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.31. What is the probability that the Bucs will score a touchdown on their first drive? Answer in decimal form. Round to two decimal places as needed.
Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).Each server can handle 4.001 customers per minute(Poisson). If there are 5 servers, determine the probability of 4 or fewer customers in the system. a. 0.047 b. 0.059 c. 0.118 d. 0.764
The (hypothetical) table below shows the relationship between the number of hours students work at part-time jobs each week and the number of years it takes then to graduate with an undergraduate degree. If a student works more than 5 hours per week, what is the probability that the student graduates in over 6 years?
A popular ski resort estimates that 93 percent of guests booked at their resort actually show up. If the resort books 93 guests for which the maximum number is 91, what is the probability that the number of guests who show up will exceed the capacity of the resort?(Round to four decimal places.)
Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that more than 4 students will have their automobiles stolen during the current semester? Round your answer to four decimal places.
Complaints about an Internet brokerage firm occur at a rate of 4 per day. The number of complaints appears to be Poisson distributed. A. Find the probability that the firm receives 5 or more complaints in a day. Probability = B. Find the probability that the firm receives 10 or more complaints in a 3-day period. Probability =
The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 58 minutes. What is the probability that a randomly selected spouse spends no more than 20 minutes shopping for an anniversary card?
One half of the people in the United States own individual stocks. In a random sample of 12 people, what is the probability that the number owning individual stocks is less than 4. Round to 3 decimal places.
A software engineer receives a notification anytime a customer sends a crash report. Suppose the software crashes 2% of the time and there are 80 customers who use the software daily. What is the probability that the software engineer receives zero crash reports on any given day?
candy industries take random samples from their inventory and sort by flavor. daycare center samples a number of those they take care of and sort by how often they cry during a day visit. If you randomly select a candy from the candy sample and a child in daycare from the daycare sample, what is the probability that you'd pick a grape taffy and a child who cries more than twenty times a day?
According to TMUSS Quarterly (Totally Made-Up Sports Statistics) April 2017, the probability that the Tampa Bay Buccaneers defense will have 3 or more sacks in the game is 0.07. The probability that the Bucs will both score a touchdown on their opening drive and have 3 or more sacks in the game is 0.34. The is the probability that they will either score a touchdown on the opening drive or have 3 or more sacks in the game is 0.20. What is the probability that the Bucs will score a touchdown on their first drive? Answer in decimal form. Round to two decimal places as needed.
The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to 42 minutes. What is the probability that a randomly selected spouse spends more than 12 but less than 104 minutes to shop for an anniversary card?