Let X = The number of defective watches in a sample of nine watches. List the va
ID: 3365106 • Letter: L
Question
Let X = The number of defective watches in a sample of nine watches. List the values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous.
0,1,2,3,4,5,6,7,8,9; The random variable is finite discrete
0,1,2,3,4,5,6,7,8,9; The random variable is infinite discrete
X may assume the values of any positive integer. The random variable is infinite discrete.
X may assume the values of any positive integer. The random variable is continuous.
0,1,2,3,4,5,6,7,8,9; The random variable is finite discrete
0,1,2,3,4,5,6,7,8,9; The random variable is infinite discrete
X may assume the values of any positive integer. The random variable is infinite discrete.
X may assume the values of any positive integer. The random variable is continuous.
Explanation / Answer
Given that X = The number of defective watches in a sample of nine watches
X can be in integer only (watches cannotbe in fraction!) so it is discrete and countable and out on 9 watches none or all can be defective so the answer is:
0,1,2,3,4,5,6,7,8,9; The random variable is finite discrete
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