Question

Classify each of the following random variables as either discrete or continuous: a. The fuel efficiency (mpg) of an automobile b. The amount of rainfall at a particular location during the next year c. The distance that a person throws a baseball d. The number of questions asked during a 1-hr lecture e. The tension (in pounds per square inch) at which a tennis racket is strung f. The amount of water used by a household during a given month g. The number of traffic citations issued by the high- way patrol in a particular county on a given day

Answer 1

Answer:

a. The fuel efficiency (mpg) of an automobile is a continuous variable

b. The amount of rainfall at a particular location during the next year is a continuous variable

c. The distance that a person throws a baseball is a continuous variable

d. The number of questions asked during a 1-hr lecture is a discrete variable

e. The tension (in pounds per square inch) at which a tennis racket is strung is a continuous variable

f. The amount of water used by a household during a given month is a continuous variable

g. The number of traffic citations issued by the high- way patrol in a particular county on a given day is a discrete variable

Step-by-step explanation:

Continuous variables assign values in a range of infinitely many values, while discrete variables are countable.

Continuous variables in the above can assume real numbers and there are infinitely many real numbers between any two real numbers.

Discrete variables above can be counted in the given time interval.