Question

a. it is a continuous 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.
d. is the time it takes for a light bulb to burn out 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 b: The number of light bulbs that burn out is countable (e.g., 0, 1, 2, …, 10). Discrete random variables take on countable values. So, it is a discrete random variable.
• For part c: Eye - color is a categorical variable. Random variables must be numerical. So, it is not a random variable.
• For part d: The time it takes for a light bulb to burn out can take on any non - negative real value (e.g., 100.5 hours, 200.34 hours). Continuous random variables can take on any value in an interval. So, it is a continuous random variable.

Answer:

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