In a meat packaging plant Machine A accounts for 60% of the plant's output, while Machine B accounts for 40% of the plant's output. In total, 4% of the packages are improperly sealed. Also, 3% of the packages are from Machine A and are improperly sealed. 1. Set up the 2-by-2 table and fill it with simple and joint probabilities. Label the columns and rows. a. If a package is selected at random, what is the probability that it will be properly sealed? b. What is the probability that the package selected at random is from machine be and improperly sealed? 2. Draw an approximate Venn Diagram to illustrate the joint probability of Machine A and improperly sealed packaging. 3. Draw a decision tree to illustrate the probabilities conditional on the machine. a. If a package selected at random came from Machine A, what is the probability that it is improperly sealed? b. If a package selected at random came from Machine B, what is the probability that it is properly sealed? c. If a package selected at random came from Machine B, what is the probability that it is improperly sealed?
In a meat packaging plant Machine A accounts for 60% of the plant's output, while Machine B accounts for 40% of the plant's output. In total, 4% of the packages are improperly sealed. Also, 3% of the packages are from Machine A and are improperly sealed. 1. Set up the 2-by-2 table and fill it with simple and joint probabilities. Label the columns and rows. a. If a package is selected at random, what is the
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