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?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![### 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09be519a-ecc7-4175-9d84-84c7122026ed%2Ffddb539b-eae7-425f-8f2b-19ae7aa6f08e%2F3d4k8yp_processed.png&w=3840&q=75)
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