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Use the relative frequency approach to construct an empirical discrete probability distribution for the number of operating rooms in use on any given day?

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Final answer:

The relative frequency approach is used to construct an empirical discrete probability distribution. The first step is to record the number of occurrences for each value in the distribution. Then, calculate the relative frequency by dividing the number of occurrences by the total number of data points.

Step-by-step explanation:

The relative frequency approach is used to construct an empirical discrete probability distribution. The first step is to record the number of occurrences for each value in the distribution. Then, calculate the relative frequency by dividing the number of occurrences by the total number of data points. For example, if there are 20 days and 5 of them have 2 operating rooms in use, the relative frequency for 2 operating rooms would be 5/20 or 0.25.

Next, organize the data in a table with the values on one column and the calculated relative frequencies on another column. This table represents the empirical discrete probability distribution. The sum of all relative frequencies should be equal to 1, indicating that all possible outcomes are accounted for in the distribution.

Finally, round the relative frequencies to four decimal places to ensure consistency and clarity.

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