Suppose that æ measures the time (in hours) it takes for a student to complete a comprehensive exam. All students are done within 3 hours and the density function for x is if 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
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Suppose that a measures the time (in hours) it takes for a student to complete a comprehensive exam. All
students are done within 3 hours and the density function for x is
if 0<x<3
p(x)
mean time =
-
x²
(c) Compute the median of this distribution.
median =
(include help (units))
99
0,
(a) What proportion of students take between 2.5 and 3 hours to finish the exam?
proportion =
otherwise.
(b) What is the mean time for students to complete the exam?
0
(include help (units))
Transcribed Image Text:Suppose that a measures the time (in hours) it takes for a student to complete a comprehensive exam. All students are done within 3 hours and the density function for x is if 0<x<3 p(x) mean time = - x² (c) Compute the median of this distribution. median = (include help (units)) 99 0, (a) What proportion of students take between 2.5 and 3 hours to finish the exam? proportion = otherwise. (b) What is the mean time for students to complete the exam? 0 (include help (units))
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