hi guys,
when i was looking for statistics exams to practice i found this problem at mit final exam back at 2004
the condition for failure of a column is given by D +L > R , where D is the dead load, L is the live load , and R is the resistance, all expressed in the same units .
suppose that D, L and R are independent normally distributed variables with the following distributions :
D ~ N(100,25^2) , L ~ N(150,50^2) and R ~ N(300,20^2)
Find the probability of failure of the column
Now is this question is one function in two random variables or its multiple random variables and how to solve it .
thanks guys
Last edited by MFM; 04-22-2014 at 12:27 PM.
Do you know what the distribution of the sum of two normal random variables is?
I don't have emotions and sometimes that makes me very sad.
If you do not know/learn that yet, probably you need to learn more to tackle this. This is the basic requirement of this question.
For your curiosity, you may check these out:
http://en.wikipedia.org/wiki/Normal_...ndom_variables
http://en.wikipedia.org/wiki/Multiva...transformation
Basically it said that the linear combinations of independent normal random variables is still normally distributed.
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