Problem Yoshi is a basketball player who likes to practice by attempting the same three-point shot until he makes the shot. His past performance indicates that he has a
30
%
30%30, percent chance of making one of these shots. Let
X
XX represent the number of attempts it takes Yoshi to make the shot, and assume the results of each attempt are independent.
Is
X
XX a binomial variable? Why or why not?
Choose 1
Choose 1

(Choice A)
A
Each trial isn't being classified as a success or failure, so
X
XX is not a binomial variable.

(Choice B)
B
There is no fixed number of trials, so
X
XX is not a binomial variable.

(Choice C)
C
The trials are not independent, so
X
XX is not a binomial variable.

(Choice D)
D
This situation satisfies each of the conditions for a binomial variable, so
X
XX has a binomial distribution.