$1\mathrm{.}1$ Why is probability theory of interest to most simulation applications?

$1\mathrm{.}2$ Discuss uniformity and independence as the statistical properties of a sequence of random numbers. Name a test for each of these properties.

$1\mathrm{.}3$ Briefly, discuss two advantages and two disadvantages of simulation.

$1\mathrm{.}4$ Briefly discuss the difference between the verification and validation of a simulation model. $(4)$