Question

a. is the amount of rain in city b during april a discrete random variable, a continuous random variable, or not a random variable?
a. it is a continuous random variable.
b. it is a discrete random variable.
c. it is not a random variable.
b. is the number of light bulbs that burn out in the next week in a room with 10 bulbs a discrete random variable, a continuous random variable, or not a random variable?
a. it is a discrete random variable.
b. it is a continuous random variable.
c. it is not a random variable.
c. is the eye color of people on commercial aircraft flights a discrete random variable, a continuous random variable, or not a random variable?
a. it is a continuous random variable.
b. it is a discrete random variable.
c. it is not a random variable.

Explanation:

• For part a: The amount of rain is a continuous random variable because it can take any value within a range (e.g., 0.5 inches, 1.23 inches). It is not restricted to only whole - number values.
• For part b: The number of light bulbs that burn out is a discrete random variable. The number of bulbs (e.g., 0, 1, 2, …, 10) can only take on non - negative integer values.
• For part c: Eye color is not a random variable. A random variable is a numerical outcome of a random phenomenon. Eye color (e.g., blue, brown, green) is a categorical variable, not a numerical one.

Answer:

a. A. It is a continuous random variable.
b. A. It is a discrete random variable.
c. C. It is not a random variable.