The time between arrivals of customers to a gas station pump is given by the following probability distribution

time between arivals (min) probability
1 0.1
2 0.2
3 0.5
4 0.2

The time required by a customer is given by the following probability distribution

time required (min) probability
3 0.1
4 0.3
5 0.4
6 0.2

An excel simulation is performed in order to estimate the average customer waiting time.

a. Construct the lookup table for customer arrivals

b. Construct the lookup table for service duration

c. complete the computation of the following simulation table. Note thet the random numbers have been generated for you

random arrival arrival start waiting random service complete
customer number interval time filling time number duration time
1 0.9824 0.8113
2 0.9124 0.4704
3 0.4705 0.8284

Develop a worksheet simulationfor the following problem. The management of Madeira Manufacturing Company is considering the introduction of a new product. The fixed cost to begin the production of the product is $30,000. The variable cost for the product is uniformly distributed between $16 and $24 per unit. The product will se

Objective: Calculate binomial and Poisson probabilities.
1) Chapter 5: Problem 5.5 (binomial)
Solve the following problems by using the binomial formula.
a. If n = 4 and p = .10 , find P(x = 3) .
b. If n = 7 and p = .80 , find P(x = 4) .
c. If n = 10 and p = .60 , find P(x ≥ 7) .
d. If n = 12 and p = .45

A. Simulate 50 observations from a normal distribution with mean 0 and standard deviation 1. make a normal plot.
b. Repeat the simulation of (a) but use an exponential distribution with mean = 1 how does the shape of the plot compare to the plot using normal data?
c. Repeat the simulation in (a) but use a uniform distribu

" A company produces a product on a number of machines. Each machine generates between $200 and $400 of revenue per day according to the uniform probability distribution. When a machine breaks down, it must be repaired, and the repair time may take 1, 2, or 3 days to be completed according to the following probability di

Consider the following continuously operational job shop. Inter arrival times of jobs are described as follows:
Time between arrivals (hrs) probability
0 0.23
1 0.37
2 0.28

See attached template.
Optics Manufacturing
In the late 90's Kodak was bidding for a contract with a major research facility on the West Coast to build large-scale optics for the National Ignition Facility. These optics were roughly two feet by two feet and had to be of extremely high quality. My role in this contract prop

During the dinner hour, the distribution of the inter-arrival time of customers at a restaurant is estimated to be as shown below. The mode of payment and the service times of the cash and credit card customers are shown in the following tables. Complete the tables and simulate the system for 20 customer arrivals and determine

The time between arrivals of cars at the Petroco Service Station is defined by thw following probability distribution.
Time Between Arrivals 9min) Probability
1 .15
2 .30