91Ó°ÊÓ

The choices to classify variables are discrete random variable, continuous random variable, or not a random variable.

A variable that can be expressed numerically is a random variable.

A variable with finite and countable values is a discrete variable.

A continuous variable is a variable that can take infinitely many values and cannot be counted.

a.

In the provided scenario, the variable is not a random variable as thegrades are not numerically expressed but categorized.

Thus, the variable is not a random variable.

b.

The height of students is a continuous random variable as the heights can take infinitely many values.

Thus, the variable is a continuous random variable.

c.

The number of students in statistics classes isfinite and can be counted.

Thus, the variable is a discrete random variable.

d.

The number of eye colors of the statistics students isnot a random variable as it cannot be numerically expressed.

Thus, the variable is not a random variable.

e.

The number of timesthe statistics students must toss a coin before getting heads can be counted.

Thus, the variable for the provided statement is a discrete random variable.