Solution Found!
Two production lines are used to pack sugar into 5 kg
Chapter 2, Problem 4SE(choose chapter or problem)
Two production lines are used to pack sugar into 5 kg bags. Line 1 produces twice as many bags as does line 2. One percent of the bags from line 1 are defective in that they fail to meet a purity specification, while 3% of the bags from line 2 are defective. A bag is randomly chosen for inspection.
a. What is the probability that it came from line 1?
b. What is the probability that it is defective?
c. If the bag is defective, what is the probability that it came from line 1?
d. If the bag is not defective, what is the probability that it came from line 1?
Questions & Answers
QUESTION:
Two production lines are used to pack sugar into 5 kg bags. Line 1 produces twice as many bags as does line 2. One percent of the bags from line 1 are defective in that they fail to meet a purity specification, while 3% of the bags from line 2 are defective. A bag is randomly chosen for inspection.
a. What is the probability that it came from line 1?
b. What is the probability that it is defective?
c. If the bag is defective, what is the probability that it came from line 1?
d. If the bag is not defective, what is the probability that it came from line 1?
ANSWER:
Step 1 of 5:
Given that there are two lines,line1 and line2 used to pack sugar into bags of 5kg.
Line1 produces bags equal to twice the number of bags produced by line2.
1% of bags from line1 are fail to meet the purity specification and hence are considered as defectives.
3% of bags from line2 are fail to meet the purity specification and hence are considered as defectives.
A bag from the lot is randomly chosen for inspection.
Using all these data we have to find out the required probabilities.