Answer:
a) it is a discrete random variable
b) It is a continuous random variable
c) It is not a random variable
d) It is a discrete random variable
e) It is a discrete random variable
f) It is a continuous random variable
Explanation:
Explanation,
Continuous Random Variable
A continuous variable is one that can take on an uncountable set of values.
It may take any values within an interval.
It can take infinite values within an interval.
They are obtained by measuring rather than counting.
Discrete Random Variable
These can only take a discrete value and cannot be expressed in the form of decimals.
They are obtained by counting rather than measuring.
a). it is a discrete random variable ⇒ as a number of people is a discrete count, which takes values such as 0 or 1 or 2.
b). The exact time it takes to evaluate 27+72 ⇒ Since, Time is measured and thus it is a continuous random variable.
c). The gender of college students ⇒ Gender is categorical data. It is neither continuous nor discrete.
d). The number of hits to a website in a day ⇒ Since the number of people cannot be expressed as decimals, thus it is a discrete random variable
e). The number of bald eagles in a country ⇒ Since the number of people cannot be expressed as decimals, thus it is a discrete random variable
f). The distance a baseball travels in the air after being hit ⇒ Distance is measured and thus it is a continuous random variable.