Exam 18: B: Waiting-Line Analysis

Monte Carlo simulation is always associated with:

A Monte Carlo simulation implies that randomness has been incorporated in the simulation.

A random variate is an integer value chosen from a specific range such as between 00 and 999.

In probabilistic simulations,a single simulation run will be needed to obtain confidence in the results.

A student wants to simulate rainy and sunny days in her town for a three-week period.What is the minimum number of digits the student must obtain from a random number table for each observation,if it rained on two-fifths of the days over the past several years at this time of the year? Assume that days can be classified historically as either sunny or rainy.

Patients arrive at a hospital emergency room at an average rate of four per hour.The times between arrivals can be described by an Exponential distribution.Assuming a patient has just arrived (time = 0),simulate the arrival times for five patients using the following random digits (left to right):

Monte Carlo simulations are deterministic.

Simulation is basically a technique which is used for:

Customers arrive at a retail store at an average rate of five per hour.The time between arrivals can be described by an Exponential distribution.Assuming a customer has just arrived (time = 12: 00 pm),find the arrival time for next two customers.Using the following random digits (left to right): 27,05

On cold mornings,the probability that David's car won't start is .22.When it doesn't start,he takes the bus and is late for work.When it does start,he drives to work on the freeway.Sixty-five percent of the time the freeway is clear,and he gets to work on time.The rest of the time he is late.Simulate 10 consecutive days' worth of trips to work using the random numbers given.Use the lower numbers in each string to represent "car won't start" and "freeway clear".

A Uniform distribution has end points of 40 and 90.A random number of 20 from a two-digit random number table equates to a simulated value of 50.

The second step in the simulation process is to:

When simulating numbers for an Exponential distribution,a table of random numbers can be used.

When using a random number table,it is important to always start at the same point of the table so that results may be replicated.

A Uniform distribution has end points of 450 and 500,which represent the time limits for a production operation.A manager wants to simulate two times from this distribution,and has obtained the numbers 44 and 10 from a two-digit random number table.Respectively,the two simulated times are:

Which of the following words does not characterize Monte Carlo?

Monte Carlo simulation is only applicable to situations that have elements that can be described by random variables.

A Uniform distribution has endpoints of 250 and 400.Simulate three values of this distribution using these random numbers:

A Normal distribution has a mean of 500 and a standard deviation of 50.A manager wants to simulate two values from this distribution,and has drawn these random numbers: -0.60 and +1.40.Respectively,the two values are:

During a cross-country trip,a statistics professor decided that the probability that her car could break down on any day was .15.Assume a maximum of one breakdown per day.Repair time,she decided,was normally distributed with a mean of four hours and a standard deviation of .6 hours.Simulate 10 days using these random numbers: Simulate whether a breakdown would occur and,if so,time of repair.