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 last book a person in city a read
c. the number of runs scored during a baseball game
d. the number of people in a restaurant that has a capacity of 100
e. the height of a randomly - selected person
f. the time it takes for a light bulb to burn out
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 continuous random variable
b. it is a discrete random variable
c. it is not a random variable.
b. is the last book a person in city a read 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.
c. is the number of runs scored during a baseball game a discrete random variable, continuous random variable, or not a random variable?

Explanation:

• a. Time can take on any value within an interval, so it's a continuous random variable.
• b. The last - book is a non - numerical, categorical outcome, so it's not a random variable.
• c. The number of runs is a countable quantity, so it's a discrete random variable.
• d. The number of people is a countable quantity within a certain range, so it's a discrete random variable.
• e. Height can take on any value within a range, so it's a continuous random variable.
• f. Time can take on any value within an interval, so it's a continuous random variable.

Answer:

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