the question i need help with is: Classify the random variable as finite discrete, infinite discrete or continuous. The random variable given is the number of hours a child watches television on a given day.
Continuous
To classify the random variable of the number of hours a child watches television on a given day, we need to determine whether it is finite discrete, infinite discrete, or continuous.
To classify a random variable, we consider two factors: whether it has a finite or infinite number of possible values and whether those values are discrete or continuous.
In this case, the number of hours a child watches television can have a range of values. However, it is not a finite set of values since a child can potentially watch television for any positive number of hours (including fractions).
Since the number of hours a child can watch television is not restricted to a specific set of values (finite) and can take any positive value (continuous range), we can classify it as an infinite discrete random variable.
So, the random variable "the number of hours a child watches television on a given day" is classified as an infinite discrete random variable.