Please do not give solution in image formate thanku. Items coming off an assembly line are inspected sequentially by two inspectors and declared to be defective (D) or non-defective (N). The two inspectors work in different rooms and cannot communicate with one another. State, with reasons, whether you think that the pairs of decisions made by the two inspectors on each item are dependent or independent. Please state the reasoning in a clear and concise way. HINT: Beware of giving "the obvious" answer! Think of the problem this way, by interpreting probability roughly as a proportion or relative frequency. Imagine that all the items that are declared defective by Inspector1 are put in a separate pile. Now imagine that all the items (all of them!) are put in a pile. Compare the proportion of items the Inspector2 declares defective from the first pile with the proportion of items that Inspector2 declares defective from the second pile. Relate your conclusion to the basic definition of independence that refers to conditional probability.
Please do not give solution in image formate thanku.
Items coming off an assembly line are inspected sequentially by two inspectors and declared to be defective (D) or non-defective (N). The two inspectors work in different rooms and cannot communicate with one another. State, with reasons, whether you think that the pairs of decisions made by the two inspectors on each item are dependent or independent. Please state the reasoning in a clear and concise way.
HINT: Beware of giving "the obvious" answer! Think of the problem this way, by interpreting
Imagine that all the items that are declared defective by Inspector1 are put in a separate pile.
Now imagine that all the items (all of them!) are put in a pile.
Compare the proportion of items the Inspector2 declares defective from the first pile with the proportion of items that Inspector2 declares defective from the second pile. Relate your conclusion to the basic definition of independence that refers to conditional probability.
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