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Use of pseudo-random numbers in simulations; statistical analysis in simulation

1-Why do we use pseudo-random numbers in simulations?
2-How do pseudo-random numbers affect the accuracy of a simulation?
3-What is the role of statistical analysis in simulation?

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According to Portal (1990) in the mind of the average computer user, the problem of generating uniform variants by computer was solved long ago; after all, every computer system offers one or more functions to do so; many software products, like compilers, spreadsheets, statistical or numerical packages, etc. also offer their own. According to this site, these functions supposedly return numbers that could be used, for all practical purposes, as if they were the values taken by independent random variables, with a uniform distribution between 0 and 1; in fact, many people use them with faith and feel happy with the results.

According to Portal (1990) a pseudorandom process is a process that appears to be random but is not; pseudorandom sequences typically exhibit statistical randomness while being generated by an entirely deterministic casual process. According to this site, such a process is easier to produce than a genuine ...

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