Problem 32E

For each of the following indicate whether the random variable is discrete or continuous.

a. The length of time to get a haircut.

b. The number of cars a jogger passes each morning while running.

c. The number of hits for a team in a high school girls’ softball game.

d. The number of patients treated at the South Strand Medical Center between 6 and 10 p.m. each night.

e. The distance your car traveled on the last fill-up.

f. The number of customers at the Oak Street Wendy’s who used the drive-through facility.

g. The distance between Gainesville, Florida, and all Florida cities with a population of at least 50,000.

Solution

Step 1 of 1

For the following statement we have to indicate whether the random variable is discrete or continuous

a) The length of the time to get a haircut

Here the time to get the haircut is continuous random variable

Because the the time takes is in the certain interval

b) the no.of cars a jogger passes each morning while running

Here the no.of cars a jogger passes is discrete random variable

Because the no.of cars indicates some specific number so. It is discrete random variable

c) the no.of hits for a team in a high school girl’s football game

Here the no.of hits is a discrete random variable

Because the no.of hits is a countable number

d) the no.of patients treated in the medical center 6-10 pm each night

Here the no.of patients treated in the night is a discrete random variable

e) The distance the car travelled in the last fill

Here the distance the car travelled in the last fill is continuous random variable

Because the distance the car travelled is in the certain interval

f) The no.of customers in the oak street Wendy’s who used the drive through facility

Here the no.of customers in the oak street is a discrete random variable

Because the countable number indicates discrete random variable

g) The distance between Gainesville, florida, and all florida cities with a population of at least 50,000

Here the distance between Gainesville and florida cities indicates continuous random variable

Because the distance takes is in certain interval