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GPA and Class A statistics professor classifies his students according to their

ID: 2687426 • Letter: G

Question

GPA 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 under class (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 Under 0.05 0.25 0.10 Upper 0.10 0.30 0.20 {GPA and Class Narrative} If the student selected is in the upper class, what is the probability that her GPA is between 2.0 and 3.0? {GPA and Class Narrative} What is the probability that the student is in the lower class and has GPA over 3.0?

Explanation / Answer

GPA 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 under class (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 Under 0.05 0.25 0.10 Upper 0.10 0.30 0.20 {GPA and Class Narrative} If the student selected is in the upper class,

what is the probability that her GPA is between 2.0 and 3.0? {GPA and Class Narrative}

answer =0.5

What is the probability that the student is in the lower class and has GPA over 3.0?

answer =0.10