Question: Suppose that x measures the time (in hours) it takes for a student to complete an exam. All students are done within two hours and

Suppose that x measures the time (in hours) it takes for a student to complete an exam. All students are done within two hours and the density function for x is

p(x) = {x/4 x/4 if 0 < x < 2 otherwise.

(a) What proportion of students take between 1.5 and 2.0 hours to finish the exam?
(b) What is the mean time for students to complete the exam?
(c) Compute the median of this distribution.

p(x) = {x/4 x/4 if 0 < x < 2 otherwise.

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