Question

hal is playing a game with a spinner. the spinner is equally divided into two regions. each region is represented by a different color.
given the spinner above, describe the process of defining a random variable, x.
a. a random variable, x, can be defined for the given spinner by assigning a letter to each region of the spinner.
b. a random variable, x, is already defined for the given spinner with the color of each region of the spinner.
c. a random variable, x, can not be defined for the given spinner.
d. a random variable, x, can be defined for the given spinner by assigning a numerical value to each region of the spinner.

Explanation:

A random variable \(X\) must take on numerical values. Assigning a letter (non - numerical) as in option A is incorrect. The color (non - numerical) in option B does not define a random variable. Option C is wrong because a random variable can be defined. Option D is correct as it assigns a numerical value to each region, which is the proper way to define a random variable for this spinner.

Answer:

D. A random variable, \(X\), can be defined for the given spinner by assigning a numerical value to each region of the spinner.