Give the Range of Values That the Random Variable X

Multiple Choice

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. ​
X = The number of defective watches in a sample of four watches.
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A) {0,1,2,3,4}; The random variable is finite discrete
B) {0,1,2,3,4}; The random variable is infinite discrete
C) X may assume the values of any positive integer. The random variable is infinite discrete.
D) X may assume the values of any positive integer. The random variable is continuous.