Join Variable and Attribute Techniques in Measurements and Error Analysis

Hi everybody,
I have a specific question. A factory produce a certain product and in the process there are some OK or KO. The results of the process is strictly linked with temperature of it. For example at 50° it's usually ok, at 55 it fail sometime and 60 it fails more.
How i can find a distribution or some statistical law that links my problem?
Furthemore i would like to know if exist a Statistical test when i have variable and attribute linked togheter.
For example:
50°-->ok
53-->ok
56-->ko
49-->ko
...ecc

Thank you!!!