Question: Recreational boats arrive at a single gasoline pump located at the dock at Trident Marina at an average rate of 10 per hour on Saturday

Recreational boats arrive at a single gasoline pump located at the dock at Trident Marina at an average rate of 10 per hour on Saturday mornings. The fill up time for a boat is normally distributed, with an average of 5 minutes and a standard deviation of 1.5 minutes. Assume that the arrival rate follows the Poisson distribution.
(a) What is the probability that the pump is vacant?
(b) On average, how long does a boat wait before the pump is available?
(c) How many boats, on average, are waiting for the pump?

Step by Step Solution

★★★★★

3.29 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

tr msoheightsourceauto col msowidthsourceauto br msodataplacementsamecell style0 msonumberformatGeneral textaligngeneral verticalalignbottom whitespacenowrap msorotate0 msobackgroundsourceauto msopatt... 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)

718-M-S-L-P (1241).xlsx

300 KBs Excel File

Students Have Also Explored These Related Statistics Questions!

Customers arrive at a single-server queueing system in accordance with a Poisson process with an expected interarrival time of 25 minutes. Service times have an exponential distribution with a mean...

Customers arrive at a single-server queueing system according to a Poisson process at a mean rate of 10 per hour. If the server works continuously, the number of customers that can be served in an...

A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a mean rate of 15 per hour. However, if the pump already is being used, these potential...

Coral Divers Resort Jonathon Greywell locked the door on the equipment shed and began walking back along the boat dock to his office. He was thinking about the matters that had weighed heavily on his...

Www Soray Wayne Singular - for use only with ACCT 3250 Section 1 from November 01 to December 18, 2021. Mostly Mental Shuttles - 2019 is the Time to Grow Page 6 of 2 The finance rate for this unit is...

please answer completely, will upvote Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2.customers arrive each bour. One...

Hello! please answer all parts to the question clearly please its sometimes hard to understand the experts please thank you! provide the answer TO EACH QUESTION CLEARLY please!!! PLEASE CLEARLY LABLE...

FACT SHEET FOR YOUR CONFERENCE ASSOCIATION NAME: Statistics Notes Name of Conference: List the name you are going to give your conference, this will be used in all of your marketing (HTM 2025 Annual...

Question: Discuss the actions, decisions and strategies that were carried out by Stardust to ensure the success of introducing the Living Safety culture. (20 markah) note: please can you make at...

Based on the case study above "Stardust Petroleum Sendirian Berhad: How to inculcate the pro-active safety culture?" answer the question 1. " Based on Lewins model of organizational change, suggest...

Juno Mining Company current dividend (at time 0) is $0.50 a share. Its dividend growth rate is expected to be 8% a year forever. How much would you pay for a share if your required rate of return is...

Do the IASB and FASB conceptual frameworks differ in terms of the role of financial reporting? Explain.

A group of employees read on a website that income tax collection is illegal and approached the controller for a large company. They ask that the company stop withholding income taxes from their pay...

Alpha plc had an issued share capital of 2,000,000 ordinary shares at 1 January 20X1.The nominal value was 25p and the market value 1 per share. On 31 March 20X1 the company made a rights issue of 1...

Consider Variation 5 of the Wyndor Glass Co. model (see Fig. 7.5 and Table 7.8), where the changes in the parameter values given in Table 7.5 are c-bar2 = 3, a-bar22 = 3, and a-bar32 = 4. Use the...

Consider the following problem. Maximize Z = 8x1 + 24x2, Subject to And x1 ¥ 0, x2 ¥ 0. Suppose that Z represents profit and that it is possible to modify the objective function somewhat by...

Consider the following problem. Maximize Z = x1 x2, Subject to and x1 ¥ 0, x2 ¥ 0, (a) Solve this problem graphically. (b) Use the dual simplex method manually to solve this problem. (c)...

Kim is diligent and, starting on her 1 8 th birthday, she saves $ 1 2 0 0 and continues her annual savings ( on her birthdays ) until her 2 5 th birthday. After the deposit on her 2 5 th birthday she...

KADS, Inc. has spent $410,000 on research to develop a new computer game. The firm is planning to spend $210,000 on a machine to produce the new game. Shipping and installation costs of the machine...

What is the IRR?of this investment opportunity if your cost of capital is 8 . 6 % . Should you make the investment? Calculate the IRR and use it to determine the maximum deviation allowable in the...