Identify each example as a discrete random variable or a continuous random variable. the average annual increase in fuel price a car's speed at different times the number of cars passing through a toll both in an hour the number of phone calls made in a day the salaries of employees in an office

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tutorconsortium33 tutorconsortium33 · Answer 1 · 2022-08-19T09:28:16+02:00

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.

(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.

Know more about discrete random variables here:

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