Question: A statistics professor classifies his students according to their grade point average (GPA) and their class rank. GPA is on a 0.0-4.0 scale, and class

A statistics professor classifies his students according to 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 underclass (freshmen and sophomores) and the upper class (juniors and seniors). One student is selected at random.

GPA

Class Under 2.0 2.0 - 3.0 Over 3.0 Totals Under 3 15 6 24 Upper 6 18 12 36 Total 9 33 18 60 A student is randomly selected. a) (1 point) What is the probability that the selected student is in an underclass? b) (1 point) What is the probability that the selected student is in an underclass and has a GPA of 3.0, or lower? c) (1 point) What is the probability that the selected student has a GPA of 2.0, or higher, knowing that he is in an upper class? d) (1 point) If the selected student has a GPA over 3.0, what is the probability that he is in an upper class?

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