Answer to Question #301162 in Statistics and Probability for Pearlla

Question #301162

Two coins are tossed. Let H be the number of tails that occur.Determine the values of the random variable H.

1
Expert's answer
2022-02-23T08:22:29-0500

Let's denote H - heads, T - tails.

Sample space S is all possible outcomes.


S={HH,TH,HT,TT}S = \{HH, TH, HT, TT\}

Let hh be the random variables representing the number of tails that occur. The possible values of hh are 0,1,2.0,1,2.



Sample pointyHH0TH1HT1TT2\def\arraystretch{1.5} \begin{array}{c:c} Sample\ point & y \\ \hline HH & 0 \\ \hdashline TH & 1 \\ \hdashline HT & 1 \\ \hdashline TT & 2 \\ \hdashline \end{array}


h012p(h)1/41/21/4\def\arraystretch{1.5} \begin{array}{c:c} h & 0 & 1 & 2 \\ \hline p(h) & 1/4 & 1/2 & 1/4 \end{array}


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