Determine whether each of the following random variables is discrete or continuous. a. A scientist measures the height of a plant every 5 days b. A dog's weight is measured every week c. The number of leaves on a tree are counted each month d. The number of languages a person speaks

a. continuous

b. continuous

c. discrete

d. discrete

Step-by-step explanation:

Discrete variables have a countable numbers of outcomes while continuous variables can assume infinite possible values.

a. A scientist measures the height of a plant every 5 days.

The height of the plant can assume any possible value, the variable is continuous.

b. A dog's weight is measured every week

Similarly to the height, the weight can assume any possible value, the variable is continuous.

c. The number of leaves on a tree are counted each month

The number of leaves is restricted to integer numbers, the variable is discrete.

d. The number of languages a person speaks

Also represents an integer number, the variable is discrete.