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Compute the exact probability (using integral calculus) that the lecture continues for at least 60 seconds beyond the bell.

Compute the exact probability (using integral calculus) that the lecture continues for at least 60 seconds beyond the bell.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A college professor always finishes his lectures within 2 minutes after the bell rings to end the period and the end of the lecture. Let X = the time (in minutes) that elapses between the bell and the end of the lecture and suppose the pdf of X is: f(x) = (0 x² for 0 ≤ x ≤2 otherwise Compute the exact probability (using integral calculus) that the lecture continues for at least 60 seconds beyond the bell.
Transcribed Image Text:A college professor always finishes his lectures within 2 minutes after the bell rings to end the period and the end of the lecture. Let X = the time (in minutes) that elapses between the bell and the end of the lecture and suppose the pdf of X is: f(x) = (0 x² for 0 ≤ x ≤2 otherwise Compute the exact probability (using integral calculus) that the lecture continues for at least 60 seconds beyond the bell.
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