Question: The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The average time to wash a car

The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The average time to wash a car is 4 minutes, and the time is exponentially distributed. Cars arrive at a rate of one every 5 minutes (or 12 per hour), and the number of arrivals per time period is described by the Poisson distribution.

(a) What is the average time for cars waiting in the line?

(b) What is the average number of cars in the line?

(d) What is the average time in the system?

(e) What is the probability there are more than three cars in the system?

Step by Step Solution

★★★★★

3.44 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

This is an MM1 system with ... 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)

162-M-S-Q-T (31).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

The Agawam High School band is playing some lively marches while the coaches are giving pep talks to their respective football squads. Although it is September, it is unseasonably hot (88F/31C) and...

A faucet is leaking at a rate of one drop of water per second. Assume that the volume of one drop of water is 0.1 cubic centimeter (10.1 cm 3 ) (a) Determine the volume of water in cubic centimeters...

The Toxic Bank Band is holding a concert in Toronto. Fixed costs relating to staging a concert are $350,000. Variable costs per patron are $5.00. The selling price for a ticket $25.00. The Toxic Bank...

=12-32 The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The average time to wash a car is 4 minutes, and the time is exponentially distributed. Cars arrive...

A) The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment . The average time to wash a car is 4 minutes , and the time is exponentially distributed . Cars arrive...

a) The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The av- erage time to wash a car is 4 minutes, and the time is exponentially distributed. Cars arrive...

SOLVE IN EXCEL WITH STEPS PLEASE THANK YOU Q.#4 a) The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The av- erage time to wash a car is 4 minutes, and the...

Q.#4 a) The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The av- erage time to wash a car is 4 minutes, and the time is exponentially distributed. Cars...

I want a split between Q: A , Q:B, and Q:C The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The av- erage time to wash a car is 4 minutes, and the time is...

The Clear Brook High School band is holding a car wash as a fundraiser to buy new equipment. The average time to wash a car is four minutes, and the time is exponentially distributed. Cars arrive at...

Alice needs to authenticate to the web service using port 380 on the host hw2.csec380.fun. In this assignment, you will write several python scripts that will allow Alice to authenticate to a remote...

Management of a soft-drink bottling company has the business objective of developing a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a...

4. Use the counterexample method to prove the following categorical syllogisms invalid. In doing so, follow the suggestions given in the text. Some farm workers are not people who are paid decent...

To determine the phenotype of an organism, perform: DNA sequence the parents Look at defined physical or specific internal marker(s) O DNA fingerprint the organism O Do dihybrid cross

Which compound is insoluble in water? O a. CaCl2 O b. NazSO4 O . NH,CI O d. PBCI2

The set of quantum numbers that correctly describe an electron in a 2p orbital is: O a.n = 2;1 = 1; m = -1, 0, or 1; m, = +1/2 or -1/2 %3D O b.n = 3:1 = 0; m, = 0; m, = +1/2 or -1/2 O Cn = 3;1 = 1;...

A common-size statement of comprehensive income is defined as a financial statement wherein all items are expressed as a percentage of: A. Their prior year's value. B. Their projected value. C. Their...

The imprinting of genes has an epigenetic mode of regulation. True False

Describe several types of sales promotion.

The demand for product S is 100 units. Each unit of S requires 1 unit of T and 0.5 ounce of U. Each unit of T requires 1 unit of V, 2 units of W, and 1 unit of X. Finally, each unit of U requires 0.5...

Using the data from Figures 6.126.14, develop a net material requirements plan for 50 units of item A assuming that it takes only 1 unit of item B for each unit of item A.

Given the information in Problem 6-60, develop a gross material requirements plan for 50 units of item A.

5 . How does the proposal sketched above differ from a special dividend of $ 4 . 3 9 per share?

Joey realizes that he has charged too much on his credit card and has racked up $4,500 in debt. If he can pay $175 each month and the card charges 15 percent APR (compounded monthly), how long will...

Enter your answer as a decimal number with four digits to the right of the decimal point Listen An experiment is start a new business. A highly informed investment banker thinks the odds are 70-to-10...