Identification of each example as a discrete random variable or a continuous random variable is shown below.
To identify each example as a discrete random variable or a continuous random variable:
(A) Average price of gas → continuous random variable.
- An average can come out to be any number, with a huge string of decimal places. There are no numbers it CAN'T be.
(B) Car's speed → continuous random variable.
- Between zero and the car's maximum top speed, there are no numbers it CAN'T be.
(C) Number of cars → discrete random variable.
- It has to be a whole number. There can't be half a car or 0.746 of a car passing through.
(D) Number of phone calls → discrete random variable.
- It has to be a whole number. There can't be a half of a call or 0.318 of a call made.
(E) Salaries → discrete random variable.
- The employer can set a person's salary to be anything he wants it to be.
- If they want it to be a whole number or ANY fraction, they can do it there's no number it CAN'T be.
- But when it comes time to actually pay him, that has to be a whole number of pennies. There are actually a lot of numbers that they can't pay because they can't give him half of a penny, or 0.617 of a penny.
Therefore, the identification of each example as a discrete random variable or a continuous random variable is shown.
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