Question: Martys 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

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 5 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions:
a. What is the probability that no units are in the system?
b. What is the probability that one customer is receiving a haircut and no one is waiting?
c. What is the probability that one customer is receiving a haircut and one customer is waiting?
d. What is the probability that one customer is receiving a haircut and two customers are waiting?
e. What is the probability that more than two customers are waiting?
f. What is the average time a customer waits for service?

Step by Step Solution

★★★★★

3.50 Rating (180 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c d e PMore than 2 waitin... 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)

148-M-S-Q-M (103).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

On January 1, 20Y1 Caitlin Corporation issued $10 million in 10-year bonds. The bonds pay 7% interest annually on December 31. At issuance, the market rate of interest for bonds of comparable risk...

Use the MundellFleming model to answer the following questions about the province of Alberta (a small open economy). a. What kind of exchange-rate system does Alberta have with its major trading...

In Problem 7, what is the probability that no aces will occur? Suppose a fair die is rolled 12 times. What is the probability that 5 "aces" (1s) will occur?

Use Checkpoint to answer the following questions regarding the ability to expense advanced mine safety equipment. a. Using expense mine safety equipment as keywords (not in quotation marks), search...

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 5 per hour. Use the Poisson...

Marty's Barber Shop has one barber. Customers have an arrival rate of 1.1 customers per hour, and haircuts are given with a service rate of 3 per hour. Use the Poisson arrivals and exponential...

Problem 11-09 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.8 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson...

1. Martys Barber Shop has one barber. Customers have an arrival rate of 2 customers per hour, and haircuts are given with a service rate of 5 per hour. Use the Poisson arrivals and exponential...

EMERGENCY PLEASE HELP ALL ONE QUESTION!!!!! PLEASE ANSWER COMPLETELY, WILL GIVE LIKE IF ANSWERED COMPLETELY!!! ation Marty's barber shop has one barber. Customers arrive at a rate of 2.2 per hour and...

I answered question 1 can you check my answers AND answer the rest? Please choose from the multiple choice. Marty's barber shop has one barber. Customers arrive at a rate of 2 . 2 per hour and...

Problem 11-09 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 1.6 customers per hour and haircuts are given with a service rate of 2 per hour. Use the Poisson...

A square room 3 by 3 m has a floor heated to 300 K, a ceiling, a ceiling at 290 K and walls that are assumed perfectly insulated. The height of the room is 2.5 m. The emissivity of all surfaces is...

What kind of decisions can be made when analyzing financial statements?

The management of a company wants to begin employees who process claims filed by custome employees will resist the monitoring because the the HR department best address this concern? by applying the...

A 50-Hz alternating voltage having an rms value of V = 100 v is applied to a series R-L circuit by closing a switch as shown in Figure Q1. The resistance, R is 15 Q and the inductance, L is 0.10 H....

You are an entrepreneur who designed a unique line of vegan friendly facial treatment boutique and bar providing different facial treatments in downtown Vancouver. Your service is upscale level of...

Model a parabolic GRIN fiber by the equivalent multiple-step approximation. Let n1=1.5, =0.01. Divide the radius into 10 equal parts. Consider a ray crossing the fiber axis at 5o with respect to that...

A light spring obeys Hooke's law. The spring's unstretched length is 33.5 cm. One end of the spring is attached to the top of a doorframe and a weight with mass 8.25 kg is hung from the other end....

1. Assume an economy of two firms and two consumers. The two firms pollute. Firm one has a marginal savings function of MS, (e) = 5 - e where e is the quantity of emis- sions from the firm. Firm two...

Eclampsia deaths Refer again to the research summarized in Exercise R5.6. Is there any evidence that when eclampsia does occur, the magnesium sulfide treatment may help prevent the womans death? a)...

Find the 2-, 3- and 4-period moving averages for the following time series, and use the errors to say which gives the bestresults. T 1 2 3 45 6 78 9 0 Y 280 240 360 340 300 220 200 360 410 280

Use exponential smoothing with ( = 0.1 and 0.2 to forecast values for the data in Problem 10.4. Which smoothing constant gives better forecasts? How would you monitor the results with a tracking...

Use exponential smoothing with 2 between 0.1 and 0.4 to get forecasts one period ahead for the following time series. Use an initial value of F1 = 208 and say which value of ( isbest. 1 2 3 4 5 6 7 8...

Question 1 ( 1 point ) Saved Questions 1 through 5 are based on the following scenario. You take out an $ 1 8 , 0 0 0 . 0 0 car loan that calls for 4 8 monthly payments at an AP of 7 percent....

Answers are shown. I need to see how they were found. PROBLEM 1 CONTINUED 16. (2 MARKS) Which one of the following par value 12% coupon bonds experiences a price change of $23 when the market yield...

A stock has a beta of 1.31 and an expected return of 12.9 percent. A risk-free asset currently earns 4.35 percent. Required: (a) What is the expected return on a portfolio that is equally invested in...