A college professor classifies his students according to their grade point avera
ID: 3180740 • Letter: A
Question
A college 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. The table below provides joint probabilities.
GPA
2.5 or less
Above 2.5
Under Class
0.12
0.16
Upper Class
0.25
?
Calculate the probability that the randomly selected student's GPA is above 2.5 or is in the Upper Class. Enter your answer in decimal form, and round your answer to three decimal places.
GPA
2.5 or less
Above 2.5
Under Class
0.12
0.16
Upper Class
0.25
?
Explanation / Answer
Probability that a randomly selected studet's GPA is above 2.5 or is in upper class
= 1 - Probability that student is neither in upper class nor the GPA is above 2.5
= 1 - Probability that the students has a GPA o 2.5 or less and is from Under class
= 1 - 0.12 = 0.88
Therefore 0.88 is the required probability.
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