Question

In: Operations Management

Part A:  The number of cars arriving at a self-service gasoline station during the last 50 hours...

Part A:  The number of cars arriving at a self-service gasoline station during the last 50 hours of operation are as follows:

Number of Cars Arriving

Frequency

6

10

7

12

8

20

9

8

The following random numbers have been generated: 44, 30, 26, 09, 49, 13, 33, 89, 13, 37. Simulate 10 hours of arrivals at this station. What is the average number of arrivals during this period?

Part B:  The time between arrivals at a drive-through window of a fast-food restaurant follows the distribution given below. The service time distribution is also given in the table in the right column. Use the random numbers provided to simulate the activity of the first five arrivals. Assume that the window opens at 11:00 a.m. and the first arrival is after this, based on the first interarrival time generated.

Time

Between

Service

Arrivals

Probability

Time

Probability

1

0.2

1

0.3

2

0.3

2

0.5

3

0.3

3

0.2

4

0.2

Random numbers for arrivals: 14, 74, 27, 03

Random numbers for service times: 88, 32, 36, 24

What time does the fourth customer leave the system?

Solutions

Expert Solution

b)

keosha answered 4 months ago
Next > < Previous

Related Solutions

A service station owner believes that an equal number of customers prefer to buy gasoline on...
A service station owner believes that an equal number of customers prefer to buy gasoline on every day of the week. A manager at the service station disagrees with the owner and claims that the number of customers who prefer to buy gasoline on each day of the week varies. Test the manager’s claim using alpha = 0.10. The owner surveyed 739 customers over a period of time to record each customer’s preferred day of the week. Here is what...
The number of cars arriving at a servi-car or bank service window between 3:00 p.m. and...
The number of cars arriving at a servi-car or bank service window between 3:00 p.m. and 6:00 p.m. on Friday, a Poisson process follows at a rate of 0.25 cars per minute. Calculates the probability that fewer than 4 cars arrive at the bank between 4:00 p.m. and 4:10 p.m. (result at four decimal places)
the number of cars arriving at a bank car service between 3:00 pm and 6:00 pm...
the number of cars arriving at a bank car service between 3:00 pm and 6:00 pm on Friday, according to a Poisson process at the rate of 0.3 cars per minute. Calculate the probability that at least 4 cars arrive at the bank between 4:00 pm and 4:10 pm
3. The general manager of Gordon's Self-Service Gasoline wants to estimate the mean number of gallons...
3. The general manager of Gordon's Self-Service Gasoline wants to estimate the mean number of gallons of gasoline that are purchased by customers at his Kansas City locations. He would like the estimate to be within plus or minus 0.50 gallons. Based on past studies, the standard deviation of the amount purchased is 4.0 gallons. a. How large must the sample be for him to be 99% confident about that estimate? b. How large must the sample be for him...
A service station has both self-service and full-service islands. On each island, there is a single...
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. y p(x, y) 0 1 2 x 0 0.10 0.05 0.02 1...
A service station has both self-service and full-service islands. On each island, there is a single...
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. y p(x, y)      0 1 2 x 0     0.10     0.03     0.01  ...
A service station has both self-service and full-service islands. On each island, there is a single...
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. y p(x, y)      0 1 2 x 0     0.10     0.05     0.02  ...
1. A service station has both self-service and full-service islands. On each island, there is a...
1. A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a par- ticular time, and let Y denote the number of hoses on the full service island in use that time. The joint pmf of X and Y appears in the accompanying tabulation. 0 1 2 0 .10 .04 .02 1 .08 .20...
A service station has both self-service and full-service islands. On each island, there is a single...
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. y p(x, y)      0 1 2 x 0     0.10     0.05     0.01  ...
A service station has both self-service and full-service islands. On each island, there is a single...
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation. P(x,y) y x 0 1 2 0 0.06 0.14 0.02 1 0.03...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT