I am give probability distribution function f(x)=(e(-x/1000))/1000 of the time to failure of an electronic component in a copier(adsbygoogle = window.adsbygoogle || []).push({});

The question is to determine the number of hours at which 10% of all components have failed.

My solution:

1) PDF was integrated to obtain: f(x)= e(-x/1000)

2) Then, I used e(-x/1000)=0.1 with upper boundary x, and lower boundary is 0 to find x as the number of hours at which all 10% of components have failed. However, entering it in calculator, I couldn't obtain solution. What did I wrong here?

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# Solving PDF with set boundary values

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