Question

In: Statistics and Probability

The grade point averages (GPAs) for graduating seniors at a college are distributed as a continuous rv X with pdf

The grade point averages (GPAs) for graduating seniors at a college are distributed as a continuous rv X with pdf

(a) Find the value of k.

(b) Find the probability that a GPA exceeds 3 .

(c) Find the probability that a GPA is within 0.25 of 3 .

(d) Find the probability that a GPA differs from 3 by more than 0.5

Solutions

Expert Solution

(a) Find the value of k.

(b) Find the probability that a GPA exceeds 3 .

(c) Find the probability that a GPA is within 0.25 of 3 .

(d) Find the probability that a GPA differs from 3 by more than 0.5

Therefore p(2.5<x<3.5)=1/2=0.5


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