Which of the following is a continuous random variable?

a. The number of employees in an office

B. The salaries of employees in an office

C. The numbers of printers in an office

D. The number of phone calls made daily from an office.

Respuesta :

Answer:

B:  The salaries

Step-by-step explanation:

B:  The salaries.  While not strictly continuous, the range of salaries is closest of these four choices to being continuous.  In contract, "number of employees," "number of printers," and "number of phone calls" are all discrete random variables.

The statement at D "The number of phone calls made daily from an office" is a continuous random variable.

What is meant by a continuous random variable?

A random variable is defined for all the values in an interval or between two values.

Verifying the given statements:

A. The number of employees in an office.

It is a constant value. It's not a continuous random variable.

B. The salaries of employees in an office

It is a constant value. It has only one value means represented in a closed interval. So, not a continuous random variable

C. The number of printers in an office

This is also a constant value. So, not a continuous random variable

D. The number of phone calls made daily from an office

The number of phone calls made daily, may not be the same and are continuous. If the interval of a month, there may be a different number of phone calls. So, it is a continuous random variable.

So, option D is correct.

Learn more about continuous random variables here:

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