Question

which of the following random variables are continuous variables and which are discrete? a) number of songs on your favorite playlist discrete continuous b) amount of rain during a rain storm continuous discrete c) the number times you say the word please during a random conversation continuous discrete d) number of pets you have discrete continuous e) distance a golf ball travels after being hit with a driver continuous discrete

Explanation:

Step1: Recall variable - type definitions

Discrete variables take on countable values (usually integers), while continuous variables can take on any value within an interval.

Step2: Analyze 'number of songs on your favorite playlist'

The number of songs is a countable quantity, like 5, 10, etc. So it is discrete.

Step3: Analyze 'amount of rain during a rain - storm'

Rain amount can be any non - negative real number (e.g., 2.5 inches, 3.77 inches), so it is continuous.

Step4: Analyze 'the number times you say the word PLEASE during a random conversation'

The number of times is a countable value (0, 1, 2, etc.), so it is discrete.

Step5: Analyze 'number of pets you have'

The number of pets is a countable value (0, 1, 2, etc.), so it is discrete.

Step6: Analyze 'distance a golf ball travels after being hit with a driver'

The distance can be any non - negative real number (e.g., 250.5 yards, 275.33 yards), so it is continuous.

Answer:

a) discrete
b) continuous
c) discrete
d) discrete
e) continuous