Answer to Question #215381 in Statistics and Probability for Airry

Question

Suppose three laptops are tested. Let D represent the defective laptop and N for the non-defective laptop. If we let X be the random variable representing the number of non defective laptops. What are the possible values of the random variable?

Answer 1

1) In case 1 all laptops are working. So we have $X=3.$

2) In case 2 only one of the laptopsis broken and the others are good. Then $X=2.$

3) In case 3 we have two broken laptops and one working laptop. So $X=1.$

4) In case 4 all three laptops are defective. $X=0.$

After analysis of all possible cases, we receive that $X$ may be equal to 0, 1, 2, or 3.

$$0, 1,2,3$$