Answer to Question #302624 in Statistics and Probability for Elaisa

Question #302624

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 ?

1
Expert's answer
2022-02-28T11:19:58-0500

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 DD - defective, DD' -non defective.

Sample space S is all possible outcomes.


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

Let XX be the random variable representing the number of defective laptops. The possible values of xx are 0,1,2,3.0,1,2,3.


B.


Sample pointyDDD0DDD1DDD1DDD1DDD2DDD2DDD2DDD3\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}


x0123p(x)1/83/83/81/8\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}


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