Answer to Question #302624 in Statistics and Probability for Elaisa

Question

Supposed to laptops or tested . If we let x be the random variable representing the number of defective laptops . What are the possible values of the random variable ?

Answer 1

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 defective laptops. What are the possible values of the random variable?

Let's denote $D$ - defective, $D'$ -non defective.

Sample space S is all possible outcomes.

$$S = \{D'D'D', DD'D', D'DD', D'D'D,$$ $$DDD', DD'D, D'DD, DDD\}$$

Let $X$ be the random variable representing the number of defective laptops. The possible values of $x$ are $0,1,2,3.$

B.

$$\def\arraystretch{1.5} \begin{array}{c:c} Sample\ point & y \\ \hline D'D'D'& 0\\ \hdashline DD'D' & 1 \\ \hdashline D'DD' & 1 \\ \hdashline D'D'D& 1 \\ \hdashline DDD'& 2 \\ \hdashline DD'D & 2 \\ \hdashline D'DD& 2 \\ \hdashline DDD & 3 \\ \hdashline \end{array}$$

$$\def\arraystretch{1.5} \begin{array}{c:c} x & 0 & 1 & 2 & 3 \\ \hline p(x) & 1/8 & 3/8 & 3/8 & 1/8 \end{array}$$