Question

Which of the following variables has the potential to be binomial?

A. # of cars in a parking lot
B. Number of miles someone drives to work
C. Number of students in a class who are left handed
D. Number of marbles in a jar

Answer 1

The variable that has the potential to be binomial is the number of students in a class who are left-handed. In order for a variable to be binomial, it must have a fixed number of trials or observations, independent trials or observations, two possible outcomes, and the same probability of success for each trial or observation.

Step-by-step explanation:

The variable that has the potential to be binomial is the C. Number of students in a class who are left handed. In order for a variable to be binomial, it must have the following characteristics:

• There must be a fixed number of trials or observations.
• Each trial or observation must be independent of the others.
• Each trial or observation must have only two possible outcomes: success or failure.
• The probability of success must be the same for each trial or observation.

In the case of the number of students in a class who are left-handed, each student can be considered a trial, and they can either be left-handed or not. The probability of a student being left-handed is independent of other students, and the probability of success (being left-handed) is the same for each student. Therefore, this variable has the potential to be binomial.