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.

Explanation:

• For part a:
• The amount of rain is a continuous random variable. Rainfall can take on any value within a certain range (e.g., 1.5 inches, 2.34 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 integer values.

Answer:

a. A. It is a continuous random variable.
b. A. It is a discrete random variable.