Question

determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.
a. the weight of a hamburger
b. the last book a person in city a read
c. the number of runs scored during a baseball game
d. the number of textbook authors now eating a meal
e. the number of statistics students now doing their homework
f. the number of home runs in a baseball game
a. is the weight of a hamburger 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 continuous random variable.
b. it is a discrete 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?
a. it is a continuous random variable.
b. it is a discrete random variable.
c. it is not a random variable.

Explanation:

• a. The weight of a hamburger can take on any value within a range (e.g., 100.5 grams, 100.55 grams), so it is a continuous random variable.
• b. The last - book read is a non - numerical and non - probabilistic outcome, so it is not a random variable.
• c. The number of runs scored in a baseball game can only be whole numbers (0, 1, 2,...), so it is a discrete random variable.
• d. The number of textbook authors eating a meal can only be whole numbers (0, 1, 2,...), so it is a discrete random variable.
• e. The number of statistics students doing their homework can only be whole numbers (0, 1, 2,...), so it is a discrete random variable.
• f. The number of home runs in a baseball game can only be whole numbers (0, 1, 2,...), so it is a discrete 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. B. It is a discrete random variable.
f. B. It is a discrete random variable.