d. What is the probability that the item is from Line 2 given that it is non-defective? e. Given that it is defective, what is the probability that it came from Line 1?
d. What is the probability that the item is from Line 2 given that it is non-defective? e. Given that it is defective, what is the probability that it came from Line 1?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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ANSWER D AND E ONLY
Transcribed Image Text:2. In a 1-hour output of a production line, Line 1 produces 2 defective and 3 non-defective items in
their output box. Line 2 output box contains 7 defective and 5 non-defective items. If B1 is the event
of randomly selecting the output of Line 1, and B2 is the event of randomly selecting the output of
Line 2, having probabilities of 0.4 and 0.6 respectively. -
Draw the complete tree diagram indicating the probability values.
b. What is the probability that the item is defective given that it came from Line 1?
c. What is the probability that of randomly selecting 1 item from the two lines, the item is non-
a.
defective?
d. What is the probability that the item is from Line 2 given that it is non-defective?
e. Given that it is defective, what is the probability that it came from Line 1?
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