Answer:
a) continuous random variable
b) discrete random variable
c) neither continuous nor discrete.
d) continuous random variable
e) continuous random variable
f) discrete random variable
Step-by-step explanation:
Continuous Random Variable:
- A continuous variable is one which 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 discrete value and cannot be expressed in the form of decimals.
- They are obtained by counting rather than measuring.
a) The time it takes for a light bulb to burn out
Time is a continuous random variable. Thus, it is a continuous variable.
b) The number of people with blood type Upper A in a random sample of 16 people.
Since the number of people cannot be expressed as decimals, thus it is a discrete random variable.
c) The gender of college students.
Gender is categorical data. It is neither continuous nor discrete.
d) The time it takes to fly from City Upper A to City Upper B
Time is a continuous random variable. Thus, it is a continuous variable.
e) The distance a baseball travels in the air after being hit
Distance is measured and thus it is a continuous random variable.
f) The number of people in a restaurant that has a capacity of 300
Since the number of people cannot be expressed as decimals, thus it is a discrete random variable.
