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Statistics and Probability

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Moderate

Identifying Discrete Random Variables

STATS-LJXVVM

Suppose a gym has been monitoring how their members use treadmills. The following is a list of some of the experiments that the gym can carry out.

i. Record the average time that all individuals spend on the treadmill on a Tuesday (average rounded to the nearest minute).

ii. Record the amount of time one individual spends on the treadmill (rounded to the nearest minute).

iii. Record the number of individuals that run for more than 20 minutes on a given day.

iv. Record whether an individual runs for more than 10 minutes, more than 20 minutes, or more than 30 minutes.

v. Record whether more individuals choose a preset interval exercise program, whether more individuals choose a preset intense program, or whether more individuals run to a manually set program.

vi. Record the average speed one individual has throughout their run (measured with an instrument capable of computing average speed to infinitely many significant digits).

How many of these are discrete random variables?

A

$0$

B

$1$

C

$2$

D

$3$

E

$4$

F

$5$