Question

A social scientist uses a survey to study how much time per day people spend doing yard work. The variable given on the survey website measures this using the values​ 0, 1,​ 2, ..., 24. Explain how, in theory, TV watching is a continuous random variable.

(A) Someone could watch exactly 1 hour of TV or 1.8643 hours of TV.
(B) A person's focus while watching TV goes up and down as a continuous random variable,
(C) TV watching is something done all at once without interruption.
(D) A person's enthusiasm for watching TV goes up and down as a continuous random variable.

Answer 1

Option A) Someone could watch exactly 1 hour of TV or 1.8643 hours of TV.

Explanation:

We are given the following in the question:

TV watching is a continuous random variable.

Continuous variable:

• A continuous variable values can be expressed as a whole number as well as a decimal.
• They can take any value within an interval.
• Usually they are measured and not counted.

Thus, TV watching is a continuous variable because:

Option A) Someone could watch exactly 1 hour of TV or 1.8643 hours of TV.