Answer to Question #303417 in Statistics and Probability for Raven

Question

Two winners will be drawn from 5 SHS teachers (s) and 7 JHS teachers (J). Let W the random variables representing the JHS teachers. Find the values of the random variable W.

Answer 1

Let's denote S - SHS teachers, J - JHS teachers.

Sample space S is all possible outcomes.

$$S = \{SS, SJ, JS, JJ\}$$

Let $W$ be the random variables representing the JHS teachers. The possible values of $W$ are $0,1,2.$

$$\def\arraystretch{1.5} \begin{array}{c:c} Sample\ point & w \\ \hline SS & 0 \\ \hdashline SJ & 1 \\ \hdashline JS & 1 \\ \hdashline JJ & 2 \\ \hdashline \end{array}$$