f(x) = kx³/² 0 ≤ x ≤ 5 and 0 otherwise.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.4: Logarithmic Functions
Problem 45E
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Question
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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
Find the value of k that makes f(x) a legitimate probability density
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d07e113-70c7-44ea-a54a-4dad627b44c8%2Ff9348fde-a170-4d76-b021-a119dccbc55b%2Fim44nmq_processed.png&w=3840&q=75)
Transcribed Image Text:f(x) = kx³/² 0 ≤ x ≤ 5 and 0 otherwise.
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