Classify each of the following random variables as discrete or continuous. T = winning time in the men's 100-meter dash at a randomly selected international track meet.

Audrey Mckee

Audrey Mckee

Answered question

2022-09-11

Classify each of the following random variables as discrete or continuous. T = winning time in the men's 100-meter dash at a randomly selected international track meet.

Answer & Explanation

Koen Henson

Koen Henson

Beginner2022-09-12Added 17 answers

DEFINITIONS
Discrete data are restricted to defined separated values with a finite or countable number of different possible values, for example integers or counts.
Continuous data are not restricted to defined separate values, but can occupy any value over a continuous range, for example decimal, rational or real numbers.
SOLUTION
T=winning time in the men's 100-meter dash
The winning time can take on decimal values (such as 15.75 seconds) and thus there are infinitely many possible values for T, which implies that T is continuous.
Result:
Continuous.

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