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probabilistic Design analysis   •   75
                         8. Choose the probabilistic design tool or method (PDS).
                         9. Execute the loops required for the probabilistic design analysis
                           (PDS).
                        10. Fit the response surfaces (if you did not use a Monte Carlo Sim-
                           ulation method) (PDS).
                        11. Review the results of the probabilistic analysis (PDS).

                          Since analyzing complex problems can be time-consuming, ANSYS
                      offers you the option of running a probabilistic analysis on a single proces-
                      sor or distributing the analyses across multiple processors. By using the
                      ANSYS PDS parallel run capabilities, you can run many analysis loops
                      simultaneously and reduce the overall run time for a probabilistic analysis.
                          The  following  Figure  3.1  shows  the  flow  of  information  during  a
                      probabilistic design analysis.


























                       Figure 3.1.  The flow of information during a probabilistic design analysis.



                      3.2  ProBaBiLity distriButions

                      Probability distributions are a  fundamental concept in statistics. They are
                      used both on a theoretical level and a practical level. Some practical uses
                      of probability distributions are:

                         •  To calculate confidence intervals for parameters and to calculate
                            critical regions for hypothesis tests.
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