Alberta Hospital occasionally has electrical problems. It can take some time to find the problem, though it is always found in no more than 10 hours. The amount of time is variable; for example, one time it might take 0.3 hours, and another time it might take 5.7 hours. The time (in hours) necessary to find and fix an electrical problem at Alberta Hospital is a random variable, say X, whose density is given by the following uniform distribution o if 0 < x < 10 { 10 p(x) = otherwise Such electrical problems can be costly for the Hospital, more so the longer it takes to fix it. The cost of an electrical breakdown of duration a is x³. What is the expected cost of an electrical breakdown? Show your work.
Alberta Hospital occasionally has electrical problems. It can take some time to find the problem, though it is always found in no more than 10 hours. The amount of time is variable; for example, one time it might take 0.3 hours, and another time it might take 5.7 hours. The time (in hours) necessary to find and fix an electrical problem at Alberta Hospital is a random variable, say X, whose density is given by the following uniform distribution o if 0 < x < 10 { 10 p(x) = otherwise Such electrical problems can be costly for the Hospital, more so the longer it takes to fix it. The cost of an electrical breakdown of duration a is x³. What is the expected cost of an electrical breakdown? Show your work.
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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Transcribed Image Text:Alberta Hospital occasionally has electrical problems. It can take some time to find the problem,
though it is always found in no more than 10 hours. The amount of time is variable; for example,
one time it might take 0.3 hours, and another time it might take 5.7 hours. The time (in hours)
necessary to find and fix an electrical problem at Alberta Hospital is a random variable, say X,
whose density is given by the following uniform distribution
o
if 0 < x < 10
{
10
p(x) =
otherwise
Such electrical problems can be costly for the Hospital, more so the longer it takes to fix it. The
cost of an electrical breakdown of duration x is x. What is the expected cost of an electrical
breakdown? Show your work.
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