Answer to Question #337351 in Statistics and Probability for ANGEL

Question

Supposed three coins are tossed. Let X be the random variable representing the number of heads occur. Construct a table that shows the sample space and values of the random variable X

Answer 1

$$\def\arraystretch{1.5} \begin{array}{c:c} & x \\ \hline TTT & 0 \\ \hdashline TTH & 1\\ \hdashline THT & 1 \\ \hdashline HTT & 1 \\ \hdashline THH & 2 \\ \hdashline HTH & 2\\ \hdashline HHT & 2\\ \hdashline HHH & 3 \\ \hdashline \end{array}$$

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