Page 222 - Math Course 3 (Book 2)
P. 222

Probability Simulations




        Empirical Study
                                                            MO. 12 - L9b
         A new study is being developed to analyze the
         relationship between heart rate and watching scary       Performing Probability
         movies. A researcher performs three studies, each
         with 100 volunteers. Based on similar studies, the               Simulations
         researcher expects that 80% of the subjects will
         experience a significant increase in heart rate. The
         table shows the results of the study.
                                                                       Vocabulary A-Z
                                                                       Let us learn some vocabulary



                                                           simulation
                                                           A simulation allows you to find an experimental
                                                           probability by using objects to act out an event that
                                                           would be difficult or impractical to perform.
                       Study of Heart Rate
               Result       Study 1   Study 2  Study 3
          Expected Success    80%      80%      80%
                Rate
           Rate increased     83%      75%      78%
             significantly
             Little or no     16%      24%      19%
              increase

           Rate decreased     1%        1%      3%

         What is the experimental probability that the movie
         would cause a significant increase in heart rate for
         all three studies?

         A. 90%                                                          Let’s Begin
         B. 79%
         C. 80%
         D. 60%
                                                           Simulation

                                                              Example


           Answer
                                                            In the last 30 school days, Bobbie’s older brother
                                                            has given her a ride to school 5 times. What could
                                                            be used to simulate whether Bobbie’s brother will
                                                            give her a ride to school?
                                                                                        5
                                                                                              1
                                                            Bobbie got a ride to school on        or        days.
                                                                                       30     6







                                                                          Since a die has 6 sides, you could
                                                               Answer     use one side of a die to represent
                                                                                  a ride to school.


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