Solution Found!
Solution: Determine whether the random variable is discrete
Chapter 6, Problem 6E(choose chapter or problem)
Problem 6E
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
(a) The time it takes for a light bulb to burn out.
(b) The weight of a T-bone steak.
(c) The number of free-throw attempts before the first shot is made.
(d) In a random sample of 20 people, the number with type A blood.
Questions & Answers
QUESTION:
Problem 6E
Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random variable.
(a) The time it takes for a light bulb to burn out.
(b) The weight of a T-bone steak.
(c) The number of free-throw attempts before the first shot is made.
(d) In a random sample of 20 people, the number with type A blood.
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 time it takes for a light bulb to burn out.
It is a discrete random variable, because the time can be anything t>0.
Therefore, the given statement is a discrete random variable.