Question

determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.
a. the exact time it takes to evaluate 67 + 29
b. the hair color of adults in the united states
c. the number of people in a restaurant that has a capacity of 250
d. the number of free - throw attempts before the first shot is missed
e. the time it takes for a light bulb to burn out
f. the number of textbook authors now eating a meal
a. is the exact time it takes to evaluate 67 + 29 a discrete random variable, 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:

• a. The time to evaluate 67 + 29 can take on any value within an interval, so it's a continuous random variable.
• b. Hair - color is a categorical variable, not a random variable in the numerical sense.
• c. The number of people in a restaurant is a countable quantity, so it's a discrete random variable.
• d. The number of free - throw attempts is a countable quantity, so it's a discrete random variable.
• e. The time for a light - bulb to burn out can take on any value within an interval, so it's a continuous random variable.
• f. The number of textbook authors eating a meal is a countable quantity, so it's a discrete random variable.

Answer:

a. B. It is a continuous random variable
b. Not a random variable
c. Discrete random variable
d. Discrete random variable
e. Continuous random variable
f. Discrete random variable