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Remaining Life of a Pipeline

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1.1.- Determination <strong>of</strong> the pdf <strong>of</strong> "Pf"<br />

Enter desired number <strong>of</strong> bins in the interval: bin 150<br />

Size, mean, and standard deviation <strong>of</strong> the data:<br />

Size n length( Pf ) n = 1 10 5<br />

Mean µ mean( Pf ) µ = 8.862<br />

n<br />

SD σ stdev( Pf ). σ = 1.551<br />

n 1<br />

Frequency distribution:<br />

lower<br />

floor( min( Pf )) upper ceil( max( Pf ))<br />

h<br />

upper<br />

bin<br />

lower<br />

j 0 .. bin<br />

int j<br />

lower h.<br />

j<br />

f<br />

hist ( int , Pf ) int int 0.5 . h<br />

F( y) n . h.<br />

dnorm( y , µ , σ )<br />

3000<br />

2000<br />

1000<br />

As it can be noticed,<br />

the histogrem <strong>of</strong> the<br />

values <strong>of</strong> "Pf", makes<br />

a very good fit with<br />

the norma distribution<br />

0<br />

0 5 10 15 20<br />

Histogram<br />

Normal distribution<br />

21

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