Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be desc probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 2.9 hours and a standard deviation of 2.1 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs. (a) What is the mean arrival rate in jobs per hour? (Round your answer to four decimal places.) 2500 ✓per hour (b) What is the mean service rate in jobs per hour? (Round your answer to four decimal places.) 3448 ✓ per hour (c) What is the average number of jobs waiting for service? (Round your answer to four decimal places.) (d) What is the average time (in hours) a job waits before the welder can begin working on it? (Round your answer to two decimal places.) h (e) What is the average number of hours between when a job is received and when it is completed? (Round your answer to two decimal places.) h (f) What percentage of the time is Gubser's welder busy? (Round your answer to the nearest whole number.)
Gubser Welding, Inc., operates a welding service for construction and automotive repair jobs. Assume that the arrival of jobs at the company's office can be desc probability distribution with an arrival rate of two jobs per 8-hour day. The time required to complete the jobs follows a normal probability distribution, with a mean time of 2.9 hours and a standard deviation of 2.1 hours. Answer the following questions, assuming that Gubser uses one welder to complete all jobs. (a) What is the mean arrival rate in jobs per hour? (Round your answer to four decimal places.) 2500 ✓per hour (b) What is the mean service rate in jobs per hour? (Round your answer to four decimal places.) 3448 ✓ per hour (c) What is the average number of jobs waiting for service? (Round your answer to four decimal places.) (d) What is the average time (in hours) a job waits before the welder can begin working on it? (Round your answer to two decimal places.) h (e) What is the average number of hours between when a job is received and when it is completed? (Round your answer to two decimal places.) h (f) What percentage of the time is Gubser's welder busy? (Round your answer to the nearest whole number.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 8CR
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Step 1: Determine the given variables.
VIEWStep 2: Find the mean arrival rate.
VIEWStep 3: Find the mean service rate.
VIEWStep 4: Find the average no. of jobs waiting for service.
VIEWStep 5: Find the average time a job waits before a welder work on it.
VIEWStep 6: Find the average no. of hours between a job is received and it's completed.
VIEWStep 7: Find the % of time that welder is busy
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