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A statistics professor classifies his students by their grade point average (GPA) and their class rank....

A statistics professor classifies his students by their grade point average (GPA) and their class rank. GPA is on a 0.0-4.0 scale, and class rank is defined as the under class (freshmen and sophomores) and the upper class (juniors and seniors). One student is selected at random.

Class

Under 2.0

2.0 - 3.0

Over 3.0

Under

0.10

0.25

0.20

Upper

0.05

0.30

0.10
  1. What is the probability that the student is in the upper class?
  1. What is the probability that the student has GPA between 2.0 - 3.0?

               c. What is the probability that the student is in the upper class and has GPA between 2.0 -  3.0?

       d. What is the probability that the student is in the upper class or has GPA between

             2.0 - 3.0?

  e. What is the probability that her GPA is between 2.0 and 3.0, given that the student

       selected is in the upper class?

           

                f.         What is the probability that the student is in the upper class, given that the GPA of the

                    student selected is between 2.0 -  3.0?

                g. Are events: “Upper class” and “GPA is between 2.0–3.0 mutually exclusive? Prove

                   using probabilities.

Math   Statistics-And-Probability   
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