s points) 20, plants: Plant A and Plant B. 5000 of the cans come from Plant A an
ID: 3051715 • Letter: S
Question
s points) 20, plants: Plant A and Plant B. 5000 of the cans come from Plant A and the rest from Plant B. Past 000 cans of cat food are stored in a warehouse. The cans of cat food are manufactured tions h as only 2% of t e warehouse at random. ave indicated that 30% of the cans manufactured in Plant A have melamine contamination, he cans manufactured in Plant B have melamine contamination. A can is taken the events A="The can of cat food was manufactured at Plant A, B "The can of cat food anufactured at Plant B", M- "The can of cat food contains melamine", translate e into symbols and then compute it. (Round to four decimal places if necessary.) is the probability that the can of cat food came from Plant A? a. (5 pts) (5 pts) What is the probability that the can of cat food came from Plant A and it contains ne? (5 pts) What is the probability that the can of cat food came from Plant B and it contains e? 6 pts) What is the probability that the can of cat food contains melamine?Explanation / Answer
1) probability that can of food came from plant A and contains melanine =P(M n A) =P(A)*P(M|A) =(5000/20000)*0.3
=0.075
2)
probability that can of food came from plant B and contains melanine =P(M n B) =P(B)*P(M|B)
=(15000/20000)*0.02 =0.015
3)
P(can contians melanine)=P(M)=P(M nA)+P(M n B) =0.075+0.015 =0.09
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.