Two production lines are employed to pack sugar in 5 kg bags. Line 1 produces twice as many bags as does line 2. The probability that bag comes from line 1 and is defective is1/150. The probability that the bag comes from line 2 and is defective is 1/100 .
If a bag is randomly selected for inspection, what is the probability that
it is packed on line 1 and is non-defective?
it is packed on line 2 and is non-defective?
it is defective?
it is packed on line 1 or is defective?
What proportion of bags packed on line 1 are defective?
What proportion of bags packed on line 2 are defective?
Suppose that we know that a bag is defective. What is the probability that it was packed on line 1?