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3.25 Telephone conversation time follows an exponential distribution with β=5. If you are in a hurry...
5. You observed that the time your friend Alice talks on a phone conversation is exponentially...
5. You observed that the time your friend Alice talks on a phone conversation is exponentially distributed with mean 5 minutes. You call her one morning and her line is busy. Assuming that she is in a phone conversation: (a) (8.5 pts) What is the probability that she would finish the conversation in (b) (3 pts) What is the expected additional conservation time before she (c) (6 pts) If the conversation time is uniformly distributed with mean 5 another 5...
Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a)...
Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a) What is the probability that you have to wait longer than 10? (b) Given you already waited 10 minutes, what is the probability that you have to wait for another 10 more minutes? (c) Let X be exponentially distributed with parameter 1/u. Prove that P(X >a+b|X >a)=P(X >b)
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes....
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes. a. What is the probability that exactly four buses arrive during the next 2 hours? b. What is the probability that no buses arrive during the next two hours? c. What is the probability that at least 2 buses arrive during the next 2 hours? d. A bus has just arrived. What is the probability that the next bus arrives in the next 30-90...
A QUESTION OF ETHICS t WHAT WOULD YOU DO? Janeen always disliked talking on the telephone-she...
A QUESTION OF ETHICS t WHAT WOULD YOU DO? Janeen always disliked talking on the telephone-she thought that it was an impersonal form of communication . Thus college was a wonderful respite, because, when her friends would call her, instead of staying on the phone, she could quickly run over to their dorm or meet them at the campus coffeehouse. One day, during a reading period before exams, Janeen received a phone call from Barbara, a childhood friend. Before she...
An airline ticket office has two ticket agents answering incoming phone calls for flight reservations. In...
An airline ticket office has two ticket agents answering incoming phone calls for flight reservations. In addition, one caller can be put on "hold" until one of the agents is available to take the call. If all three phone lines (both agent lines and the hold lines) are busy, a potential customer gets a busy signal, and it is assumed she calls another ticket office, so that her business is lost. The calls and attempted calls occur randomly i.e., according...
5. The servicing time at the drive-through lane of a fast food restaurant follows an exponential distribution. The average servicing time is 2 minutes. (4 points) YORKVILLE BUSI 1013 statistics...
5. The servicing time at the drive-through lane of a fast food restaurant follows an exponential distribution. The average servicing time is 2 minutes. (4 points) YORKVILLE BUSI 1013 statistics for Business What is the probability that it takes more than 2.5 minutes to service a customer at the drive-through lane? b. a. What percent of customers at the drive-through lane will take between 1 to 3 minutes to service? Part B 1. A simple random sample of 50 customers...
17.6-9. The Friendly Neighbor Grocery Store has a single check- out stand with a full-time cashier....
17.6-9. The Friendly Neighbor Grocery Store has a single check- out stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 30 per hour. The service-time distribu- tion is exponential, with a mean of 1.5 minutes. This situation has resulted in occasional long lines and complaints from customers. Therefore, because there is no room for a second checkout stand. the manager is considering the alternative of hiring another person to help the cashier by...
Consider a simple queuing system in which customers arrive randomly such that the time between successive...
Consider a simple queuing system in which customers arrive randomly such that the time between successive arrivals is exponentially distributed with a rate parameter l = 2.8 per minute. The service time, that is the time it takes to serve each customer is also Exponentially distributed with a rate parameter m = 3 per minute. Create a Matlab simulation to model the above queuing system by randomly sampling time between arrivals and service times from the Exponential Distribution. If a...
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...
Case Study: Pamela Pamela is 27 years old and pregnant for the first time. She is in excellent health, is a marathon run...
Case Study: Pamela Pamela is 27 years old and pregnant for the first time. She is in excellent health, is a marathon runner and works as legislative aide in State Assembly. She began her prenatal care with ob-gyn practice where she had received her well-woman care for the past 3 years. She liked the doctors very much and kept all of her appointments. She and her husband Ramon were thrilled to see their baby on ultrasound and Pamela was looking...
5. You observed that the time your friend Alice talks on a phone conversation is exponentially distributed with mean 5 minutes. You call her one morning and her line is busy. Assuming that she is in a phone conversation: (a) (8.5 pts) What is the probability that she would finish the conversation in (b) (3 pts) What is the expected additional conservation time before she (c) (6 pts) If the conversation time is uniformly distributed with mean 5 another 5...
Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a) What is the probability that you have to wait longer than 10? (b) Given you already waited 10 minutes, what is the probability that you have to wait for another 10 more minutes? (c) Let X be exponentially distributed with parameter 1/u. Prove that P(X >a+b|X >a)=P(X >b)
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes. a. What is the probability that exactly four buses arrive during the next 2 hours? b. What is the probability that no buses arrive during the next two hours? c. What is the probability that at least 2 buses arrive during the next 2 hours? d. A bus has just arrived. What is the probability that the next bus arrives in the next 30-90...
An airline ticket office has two ticket agents answering incoming phone calls for flight reservations. In addition, one caller can be put on "hold" until one of the agents is available to take the call. If all three phone lines (both agent lines and the hold lines) are busy, a potential customer gets a busy signal, and it is assumed she calls another ticket office, so that her business is lost. The calls and attempted calls occur randomly i.e., according...
5. The servicing time at the drive-through lane of a fast food restaurant follows an exponential distribution. The average servicing time is 2 minutes. (4 points) YORKVILLE BUSI 1013 statistics for Business What is the probability that it takes more than 2.5 minutes to service a customer at the drive-through lane? b. a. What percent of customers at the drive-through lane will take between 1 to 3 minutes to service? Part B 1. A simple random sample of 50 customers...
17.6-9. The Friendly Neighbor Grocery Store has a single check- out stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 30 per hour. The service-time distribu- tion is exponential, with a mean of 1.5 minutes. This situation has resulted in occasional long lines and complaints from customers. Therefore, because there is no room for a second checkout stand. the manager is considering the alternative of hiring another person to help the cashier by...
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