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The High School GPAs of Applicants for Admission to a College

Question 61

Essay

The high school GPAs of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.
GPAf(x)x<2.0.082.0x<2.5.122.5x<3.0.353.0x<3.5.303.5x\begin{array} { l l } \mathrm { GPA } & f ( x ) \\\hline x < 2.0 & .08 \\2.0 \leq x < 2.5 & .12 \\2.5 \leq x < 3.0 & .35 \\3.0 \leq x < 3.5 & .30 \\3.5 \leq x &\end{array}
a.Complete the table to make this a valid probability distribution.
b.What is the probability an applicant's GPA will be below 3.0?
c.What is the probability an applicant's GPA will be 2.5 or above?

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