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

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

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