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.

answer: certain

step-by-step explanation:

the probability of any event is a number which tells the chances that the event will happen or not .

an event that is certain to happen has a probability of 1.

an event that is uncertain to happen has a probability of 0.

therefore, if the the probability of choosing an apple-flavored juice box out of the refrigerator without looking is 1 .

then the term best describes this probability is "certain ".