Question

ap stats lesson 6.2 homework name 1. determine whether each of the following describes a discrete random variable, continuous random variable, or neither. a. weight of a randomly selected monkey at a zoo b. number of car accidents on a randomly selected day c. the chosen political party of a randomly selected voter d. most recent race time of a randomly selected runner

Explanation:

• a. Weight of a randomly selected monkey at a zoo: Weight can take on any value within a range (e.g., 5.2 kg, 6.78 kg). It is not restricted to only whole - number or countable values. So, it is a continuous random variable.
• b. Number of car accidents on a randomly selected day: The number of car accidents can only be whole numbers (0, 1, 2,...). These are countable values. So, it is a discrete random variable.
• c. The chosen political party of a randomly selected voter: A political party is a categorical variable (e.g., Party A, Party B). It does not take on numerical values in the sense of a random variable (either discrete or continuous). So, it is neither.
• d. Most recent race time of a randomly selected runner: Race time can take on any value within a range (e.g., 10.23 seconds, 15.678 seconds). It is not restricted to only whole - number or countable values. So, it is a continuous random variable.

Answer:

a. Continuous random variable
b. Discrete random variable
c. Neither
d. Continuous random variable