Question: A Pharmacy has four counter to serve Blood pressure test for customer. Customers arrive according to a Poisson distribution at the rate of 1 every

A Pharmacy has four counter to serve Blood pressure test for customer. Customers arrive according to a Poisson distribution at the rate of 1 every 10 minutes. However, only 85% seek service at the counter. The service time per customer is exponential, with a mean of 10 minutes. All arrival customers form one line and access available windows on an FCFS basis.

a. What is the probability that the arrived customer will wait in line?

b. What is the probability that both windows are idle?

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

d. Would it be possible to offer reasonable service with only three counters? Explain!

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve this question we will use the principles of queueing theory specifically the MMc model The MMc model applies to systems with Poisson arrival pattern M for memoryless or exponential interarriv... 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

Students Have Also Explored These Related Mathematics Questions!

Problem 1 We can view C as a binary relation between sets, because given any two sets A, B, either A C B or A & B. Let S be an arbitrary nonempty set and P(S) its power set. Is C a partial order on...

A Pharmacy has four counter to serve Blood pressure test for customer. Customers arrive according to a Poisson distribution at the rate of 1 every 10 minutes. However, only 80% seek service at the...

A Pharmacy has four counter to serve Blood pressure test for customer. Customers arrive according to a Poisson distribution at the rate of 1 every 10 minutes. However, only 85% seek service at the...

A function f: S is convex if and only if for all f (21x1 + a2x2 + ..+ x, Xn)

Suppose a diver springs into the air with no initial angular velocity. Can the diver begin to rotate by folding into a tucked position? Explain.

Make a visit to a commercial building with a fire sprinkler system. Make a sketch and describe chief components of the system. Describe control strategies used.

6.83 Plant Genetics In Exercise 5.76, a cross between two peony plants-one with red petals and one with streaky petals-produced offspring plants with red petals 75% of the time. Suppose that 100...

1. What are the key decisions that Andrew Mason has made during Groupons brief history? How have these decisions influenced Groupons evolution as an Internet-based business? 2. How would you describe...

(Risk-adjusted NPV) The Hokie Corporation is considering two mutually exclusive projects. Both require an initial outlay of $12,000 and will operate for 6 years. Project A will produce expected cash...

No Transfer Mr. Bailey has prepared the following divisional income statement for you to review, assuming no transfer of excess capacity hours occurs. He has also included the total amounts for BOR...

George, age 21, is a full-time student at the University and is a dependent of his parents. In 2021, he had earned income of $6,000 from a part-time job. He also he had $2,500 interest from a savings...

iid Estimating variance for normal data. Suppose that we observe data X1, ..., Xn N(0, v) we know the mean is 0, but we don't know the variance v. (We are writing variance = v, instead of , to make...

Four small spheres, each of which you can regard as a point of mass 0.200 kg, are arranged in a square 0.400 m on a side and connected by light rods a)Find the moment of inertia of the system about...

In the class, we leamt the capital recovery factor (CRF) that is given as i(1+i)n (1+i)n - 1 where i the interest rate and n is the number of annuities received. CRF 4a) (10pts) Given i, find the...

Despite growing regulation and recognition of quality management system (with Nigeria as a case study), the influx of fake and substandard products is becoming difficult to control. Required: As a...

Activity 3 Response: As an investigation of scientific question B, consider an object that is not the human body, but that also has a consistently higher temperature than the environment. Based on...

ou purchased 1,050 shares of Barrett Golf Corporation stock at a price of $36.45 per share. While you owned the stock, you received dividends totaling $.53 per share. Today, you sold your stock at a...

Is the modified 5-question approach to ethical decision making superior to the modified moral standards or modified Past in approach?

3.10 List each of the major averages or indexes prepared by (a) Dow Jones & Company and (b) Standard & Poor's Corporation. Indicate the number and source of the securities used in calculating each...

3.1 Discuss the impact of the Internet on the individual investor and summarize the types of resources it provides.

3.7 How would you access each of the following types of information, and how would the content help you make investment decisions? a. Prospectuses c. Investment letters b. Back-office research...