Help with 1 and 2 please A manufacturing facility consists of two production mac
ID: 3209170 • Letter: H
Question
Help with 1 and 2 please A manufacturing facility consists of two production machines: Machine 1 and Machine 2. Each machine manufactures 50% of the product volume. The probability of manufacturing a nonconforming product on Machine 1 and 2 is 10% and 20%, respectively. Moreover, the probability of Machine 1 producing a nonconforming product is independent of the probability of Machine 2 producing a nonconforming product, and vice versa. A manufacturing engineer inspects two consecutive products from one machine. If the manufacturing engineer finds the first product is nonconforming, what is the probability of the second product is also nonconforming? February is quality inventory month for company M3. A group of engineers are tasked to collect parts (randomly) and conduct quality check on those parts. After a quick quality check, these parts are put back into their original positions. This year, the quality engineering group is divided into two groups of engineers, Group A and Group B, to conduct the quality inventory activity. The two groups will conduct their inspections on two different days, they will not discuss the activity with each other, and the warehouse is exactly the same for both groups (i.e., the activity for Group A and Group B will be independent). During this activity, the inventory warehouse contains N items Each group is allowed to inspect as many (or as few) items as they want (e.g. 0 items to N items). Let's further define: A = Set of items that Group A inspected. B = Set of items that Group B inspected. Please determine the simplified answer for: P(A subset B) P(A = B) P(A intersection B = phi)Explanation / Answer
Q1
Let Machine 1 is A
Machine 2 is B , And event nonfoming is d
p(A)= 0.5 p(d/A)= 0.10
p(B)= 0.5 p(d/B)= 0.20
p(d)= p( A)*p(d/A) +p(B)*p(d/B)
= 0.5* 0.10 + 0.5* 0.20
=0.05 + 0.10
= 0.15
now probability of second product is also nonconfoming
= 0.15*0.15
=0.0225 ANS
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