Problem#1: On the desk of an office of a Banking Company, the arrivals of the customers follow poisson law and an average at every 10 minutes a customer arrives. The officer responsible takes on an average 6 minutes to serve a customer, assuming the exponentially distributed. Find out the average arrival rates for (a) 1 hour (b) 15 minutes (c) 8 hours

Problem#1: On the desk of an office of a Banking Company, the arrivals of the customers follow poisson law and an average at every 10 minutes a customer arrives. The officer responsible takes on an average 6 minutes to serve a customer, assuming the exponentially distributed. Find out the average arrival rates for (a) 1 hour (b) 15 minutes (c) 8 hours

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
Question 4 Multi-Server QueueA supermarket manager is trying to decide how many cashers to employ for the peak time. The service times for check outs are exponentially distributed with a mean service time of 3 minutes. Customer arrivals to cashiers follow a Poisson arrival process with an average 110 customers per hour.a. What is the minimum number of cashers that would be needed to have the utilization less than one?b. If the waiting time is too long, customers might leave the store or even do not enter the store. It is estimated that for every minute of waiting time, the supermarket loses a potential profit of 50 HKD every hour from lost sales. The hourly wage for a casher is 80 HKD / hour. How many cashers should the supermarket employ to maximize its profit? (Keep four decimal places.
Problem #01: Arrivals of a customers to payment counter in a bank follow poisson distribution with an average of 10 per hour. The service time follows negative exponential distribution with an average of 4 minutes.(a) What is the average number of customers in the Queue?(b) The bank will open one or more counter when the waiting time of a customer is at least 10 minutes. By how much the flow of arrivals should increase in order to justify the second counter? Problem #02: On the desk of an office of a Banking Company, the arrivals of the customers follow poisson law and an average at every 10 minutes a customer arrives. The officer responsible takes on an average 6 minutes to serve a customer, assuming the exponentially distributed. Find out the average arrival rates for(a) 1 hour(b) 15 minutes(c) 8 hours
Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following data: Assume that the suburb has a population of 808000 and is growing at a rate of 3000 per year. Assume that the city has a populatior of 1060000 and is declining at a rate of 15000 per year. In how many years will the populations of the suburb and the city be equal? What will the populations be when they are equal?
Question 2: Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?
Using the small model estimated above in Problem (2), what is the estimated Income for someone who: a. Is a 50-year old smoker with a BMI of 40? b.Is a non-smoking woman who has a BMI of 30? c. Is a blue-haired, 25-year old, unemployed smoker with a BMI of 20?
Problem 46 Hits at a website arrive at an average rate of 40 hits per hour according to a Poisson process. Let X denote the length in minutes from the time we start observing this website until the 1st hit is observed
Consider a service facility with four clerks. Clerk one works at rate 14/hour; Clerk two at rate 18/hour; Clerk three at rate 20/hour; and Clerk four at rate 16/hour. All service times are independent and exponential. If when you arrive there is already one person waiting, what is your expected waiting time?
1.Suppose that the weight of a type of organism is governed by a power law relationship with its length from snout to tail and the thickness of its central vertebrae
Question 4 A country club wants to exam the effects of a new marketing campaign that attempts to get more people within the community to become members. In many communities, when people buy a house in the area, they receive a “Welcome Wagon” gift basket containing coupons to local restaurants. The idea of the marketing campaign is to include a free two month membership to the country club in the gift basket with the hope that once “new” residents try the country club then at least a certain proportion will want to become real members. One member of the Club’s Executive Council believes that at least 25% of the people who receive the coupons for the free membership will use the coupon. When testing the hypothesis that at least 25% of the people who receive the coupons for the free membership will use the coupon, what is the null and alternative hypothesis?
Problem 15-11 (Algorithmic) Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.5 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 10 minutes with each customer. Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. If required, round your answers to four decimal places. Lq = L = Wq = W = Pw = Service goals dictate that an arriving customer should not wait for service more than an average of 5 minutes. Is this goal being met? If not, what action do you recommend? If the consultant can reduce the average time spent per customer to 8 minutes, what is the mean service rate? If required, round your answer to one decimal place.______________customer per hourWill the service goal be met? Yes or…
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places.P0 = What is the probability that one customer is receiving a haircut and no one is waiting? If required, round your answer to four decimal places.P1 = What is the probability that one customer is receiving a haircut and one customer is waiting? If required, round your answer to four decimal places.P2 = What is the probability that one customer is receiving a haircut and two customers are waiting? If required, round your answer to four decimal places.P3 = What is the probability that more than two customers are waiting? If required, round your answer to four decimal places.P(More than 2 waiting) = f…