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A manager of a company was concerned about the quality of products produced through a newly purchased machinery. To investigate the percentage of defective items, she collected a random sample of 200 products produced by this machine. The total number of defective items found in the sample is an example of:Question 27Answera.a continuous random variableb.a discrete random variablec.a categorical random variabled.a parameter

Question

A manager of a company was concerned about the quality of products produced through a newly purchased machinery. To investigate the percentage of defective items, she collected a random sample of 200 products produced by this machine. The total number of defective items found in the sample is an example of:Question 27Answera.a continuous random variableb.a discrete random variablec.a categorical random variabled.a parameter

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Solution

The total number of defective items found in the sample is an example of a discrete random variable. This is because the number of defective items can be counted and is not a continuous measurement. A discrete random variable can take on a finite or countably infinite number of possible values. In this case, the number of defective items can range from 0 to 200, which is a finite number of possible outcomes.

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