Operations- HW 4

Random numbers are equally likely to occur.

True -Random numbers refers to numbers drawn from a pool of numbers with equal chance of selection.

If f(x) = 4x, what is the equation for generating x, given the random number r?

x = 2r

Random numbers generated by a mathematical process instead of a physical process are pseudorandom numbers.

true

Please indicate which one of the following options is not correct? Pseudorandom numbers exhibit a(n) ________ in order to be considered truly random. A. unlimited number of possible outcomes B. uniform distribution (Is correct) C. undetectable pattern D. undetectable run of certain numbers E. detectable pattern

E. detectable pattern -a table of random numbers must be uniform, efficiently generated, and absent of patterns. -uniformly distributed means the each number in the interval of random numbers is equally likely to be selected. -the technique for generating the random numbers should be efficient -the sequence of random numbers should not reflect any pattern.

Simulation results will always equal analytical results if 1000 trials of the simulation have been conducted.

The statement is False, as the values in simulation results are only for certain parameter whereas analytical results gives a general system description for any number of parameters.

A long period of real time cannot be represented by a short period of simulated time.

false

________ is not part of a Monte Carlo simulation.

finding an optimal solution