Solution Found!
Answer: Determine whether the random variable is discrete
Chapter 6, Problem 8E(choose chapter or problem)
Problem 8E
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
(a) The number of defects in a roll of carpet.
(b) The distance a baseball travels in the air after being hit.
(c) The number of points scored during a basketball game.
(d) The square footage of a house.
Questions & Answers
QUESTION:
Problem 8E
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
(a) The number of defects in a roll of carpet.
(b) The distance a baseball travels in the air after being hit.
(c) The number of points scored during a basketball game.
(d) The square footage of a house.
ANSWER:
Solution :
Step 1 of 4:
Our goal is:
We need to determine whether the random variable is discrete or continuous.
Continuous variable :
It is a variable whose value is obtained by measuring.
Discrete variable :
It is a variable whose value is obtained by counting.
a). From the given problem we know that the number of defects in a roll of carpet.
It is discrete random variable, because the defects will be of the form 0, 1, 2, 3,....
Therefore, the given statement is a discrete random variable.