In Exercises 5 and 6, refer to the given values, then identify which of the following is most appropriate:discrete randomvariable, continuous random variable, ornot a random variable.

a. Exact weights of the next 100 babies born in the United States

b. Responses to the survey question “Which political party do you prefer?”

c. Numbers of spins of roulette wheels required to get the number 7

d. Exact foot lengths of humans

e. Shoe sizes (such as 8 or 8½) of humans

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

A random variable is a variable thatcan be numerically expressed.

A discrete variable is a variablewhose values are finite and can be counted.

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

a.

In the provided scenario, the variable is a continuous random variable as theweight of 100 babies can take infinitely many values.

Thus, the variable is a continuous random variable.

b.

In the given scenario, the variable can not be classified as a discrete variable or a continuous random variable because thepreference of a political party cannot be numerically expressed.

Thus, the variable is not a random variable.

c.

The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily.

Thus, the variable is a discrete random variable.

d.

The foot lengths of humans are a continuous random variable as thelength of the foot can take infinitely many values.

Thus, the variable is a continuous random variable.

e.

The variable for the provided statement is a discrete random variable as only two shoe sizes are provided, which are 8 and $8\frac{1}{2}$, which can be finite in counts.

Thus, the variable is a discrete random variable.