Professor Piraneo has three classes with 80 students total.  He created a distribution for mid-term scores as follows             Score                           No. of students             90 -100                                    12             80 -89                                      30             70 -79                                      14             60 -69                                      16             0 -59                                        8 Suppose that a student of Professor Piraneo is selected at random.  Let       F= the event the student scores under 60      G= the event the student scored in the 60s     Have the answer of these      H= the event the student scored in the 70s      I= the event the student scored under 80 a) Use the table and the f/N rule to find P(I) b) Express the event I in terms of F, G, and H c) Determine P(F), P(G), and P(H) d) Compute P(I), using the special addition rule and your answers from parts (b) and (c).       Compare your answer to that in part (a).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 1E: The set of all possible outcomes of an experiment is called the ____________ _____________. A subset...
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) Professor Piraneo has three classes with 80 students total.  He created a distribution for mid-term scores as follows

            Score                           No. of students

            90 -100                                    12

            80 -89                                      30

            70 -79                                      14

            60 -69                                      16

            0 -59                                        8

Suppose that a student of Professor Piraneo is selected at random.  Let

      F= the event the student scores under 60

     G= the event the student scored in the 60s     Have the answer of these

     H= the event the student scored in the 70s

     I= the event the student scored under 80

  1. a) Use the table and the f/N rule to find P(I)
  2. b) Express the event I in terms of F, G, and H
  3. c) Determine P(F), P(G), and P(H)
  4. d) Compute P(I), using the special addition rule and your answers from parts (b) and (c).

      Compare your answer to that in part (a).

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