Question

determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. the time required to upload a file to the internet b. the last book a person in city a read c. the number of pigeons in a country d. the time it takes for a light bulb to burn out e. the amount of rain in city a during july f. the height of a randomly selected person 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 pigeons in a country 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 time required to upload a file to the Internet: Time is a continuous quantity. It can take any value within a range (e.g., 1.5 seconds, 2.34 seconds). So, it is a continuous random variable.
• b. The last book a person in City A read: A book is a non - numerical, categorical entity. Random variables must be numerical. So, it is not a random variable.
• c. The number of pigeons in a country: The number of pigeons is a countable quantity (e.g., 100 pigeons, 500 pigeons). Countable quantities are discrete random variables.
• d. The time it takes for a light bulb to burn out: Time is continuous. It can take values like 1000.5 hours, 1500.23 hours. So, it is a continuous random variable.
• e. The amount of rain in City A during July: Rainfall is measured as a continuous quantity (e.g., 10.5 cm, 15.34 cm). So, it is a continuous random variable.
• f. The height of a randomly selected person: Height is a continuous quantity (e.g., 170.5 cm, 180.34 cm). So, it is a continuous random variable.

Answer:

a. Continuous random variable.
b. Not a random variable.
c. Discrete random variable.
d. Continuous random variable.
e. Continuous random variable.
f. Continuous random variable.