Problem 5. remaining 25% are processed by Line 2. Inspectors give each pack of fillets a quality grade of A and B. In Line 1, 60% and 40% of fillets receive quality scores of A and B, respectively. In Line 2, 85% and 15% of fillets receive quality scores of A and B, respectively. Line 2 produces In a seafood plant, 75% of all fish fillets are processed by Line 1, while the better quality fillets, but it is slower and more expensive to maintain than Line 1. Randomly select a fillet pack. (Hint: Draw a tree diagram.) a. What is the probability that the fillet pack will have grade A? b. Given that the fillet is selected from grade-A fillet, what is the probability that it comes from Line 2?

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### Problem 5

In a seafood plant, 75% of all fish fillets are processed by Line 1, while the remaining 25% are processed by Line 2. Inspectors give each pack of fillets a quality grade of A and B. In Line 1, 60% and 40% of fillets receive quality scores of A and B, respectively. In Line 2, 85% and 15% of fillets receive quality scores of A and B, respectively. Line 2 produces better quality fillets, but it is slower and more expensive to maintain than Line 1. Randomly select a fillet pack. (Hint: Draw a tree diagram.)

#### a. What is the probability that the fillet pack will have grade A?

#### b. Given that the fillet is selected from grade-A fillet, what is the probability that it comes from Line 2?
Transcribed Image Text:### Problem 5 In a seafood plant, 75% of all fish fillets are processed by Line 1, while the remaining 25% are processed by Line 2. Inspectors give each pack of fillets a quality grade of A and B. In Line 1, 60% and 40% of fillets receive quality scores of A and B, respectively. In Line 2, 85% and 15% of fillets receive quality scores of A and B, respectively. Line 2 produces better quality fillets, but it is slower and more expensive to maintain than Line 1. Randomly select a fillet pack. (Hint: Draw a tree diagram.) #### a. What is the probability that the fillet pack will have grade A? #### b. Given that the fillet is selected from grade-A fillet, what is the probability that it comes from Line 2?
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