I have an item which is defect or non-defect.
And I will test whether it is defect or not.
P(test defect | defect) = 0.7
P(test nondefect | nondefect) = 0.75
P(defect) =0.05
Then, I will calculate
I) P(test defect)=?
II) P(defect |test defect) = ?
III) P( defect | test non defect) = ?
In order to find these parts, will I calculate following formulas?
I) P(test defect) = P(test defect | defect) * P(defect) + P(test defect | nondefect)* [1- P(defect)]
II) P(defect |test defect) = P(test defect | defect) * P(defect) / P(test defect)
III) P( defect | test non defect) = I have no idea.
Please help me to do this. Thank you.