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A surf shop surveyed 100 customers about the number of items purchased and the length of time spent shopping in the store. Classify the random variables from the survey. A) Number of items, discrete; total time, continuous B) Number of items, continuous; total time, discrete C) Number of items, continuous; total time, continuous D) Number of items, discrete; total time, discrete E) Unable to determine from information given

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Answer:

Step-by-step explanation:

Discrete variable assume a finite number of values. It can easily be counted. Continuous variable assumes an infinite number of values. It cannot be easily counted. It is mostly measured. Considering the given scenario, we can see that the number of items purchased customers can easily be counted. The length of time spent shopping can take an infinite set of values within a given range, thus it cannot be counted.

Therefore, the classification for the random variables from the survey is

A) Number of items, discrete; total time, continuous

Using the concept of continuous and discrete variables, it is found that the correct option is:

  • A) Number of items, discrete; total time, continuous

Variables:

  • Continuous variables: Can assume decimal values.
  • Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...

In this problem:

  • The number of items is countable, as you cannot have half an item, for example, hence it is discrete.
  • Time can assume decimal values, for example, half an hour, hence it is continuous.
  • Thus, option A is correct.

You can learn more about continuous and discrete variables at brainly.com/question/25820365