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Statistics, 2ADV EQ-Bank 4 MC

A random variable \(X\) is defined as the volume of fuel (in litres) dispensed by a bowser per use. Which statement best describes \(X\) ?

  1. \(X\) is discrete because the machine dispenses a fixed amount each time.
  2. \(X\) is discrete because volume can only take positive values.
  3. \(X\) is continuous because the machine is used many times per day.
  4. \(X\) is continuous because volume can take any value within an interval.
Show Answers Only

\(D\)

Show Worked Solution
  • Volume is a measurement variable that can take any value within a range, so \(X\) is a continuous random variable.

\(\Rightarrow D\)

Filed Under: Data Tagged With: Band 3, smc-6805-10-Discrete vs Continuous

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