v) What is the expected value of X? vi) what is the variance of X?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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9- A college professor never finishes his lecture before the end of the hour
and always finishes his lectures within 2 min after the hour. Let X = the
time that elapses between the end of the hour and the end of the lecture and
suppose the pdf of X is
i)
f(x) = {
= { kd²
0
the value of k and draw th
Total
kx² 0≤x≤2
otherwise
LE COR
v) What is the expected value of X?
vi) what is the variance of X?
curve. [Hint:
anilll Ul UlIC -
Jocture continues for at 1
Transcribed Image Text:9- A college professor never finishes his lecture before the end of the hour and always finishes his lectures within 2 min after the hour. Let X = the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is i) f(x) = { = { kd² 0 the value of k and draw th Total kx² 0≤x≤2 otherwise LE COR v) What is the expected value of X? vi) what is the variance of X? curve. [Hint: anilll Ul UlIC - Jocture continues for at 1
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