f(x) = kx³/² 0 ≤ x ≤ 5 and 0 otherwise.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Suppose a college professor never finishes her lecture before the end of the class
period, and always finishes within five minutes after the class period is supposed to end. Let
X = time that elapses between the end of the class period and the actual end of the lecture.
Suppose the pdf of X is: (image)



Find the value of k that makes f(x) a legitimate probability density function, and use that
value of k to find the probability that the lecture ends less than 3 minutes after the class
period is supposed to end. 

 

f(x) = kx³/² 0 ≤ x ≤ 5 and 0 otherwise.
Transcribed Image Text:f(x) = kx³/² 0 ≤ x ≤ 5 and 0 otherwise.
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