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Anna Uses the Letter X to Represent the Possible Sequences

Question 15

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Anna uses the letter X to represent the possible sequences of heads and tails that can be obtained when a coin is flipped three times. The possible sequences together with their probabilities are listed below:
X Probability of sequence X HHH 1/8 HHT 1/8 HTH 1/8 HTT 1/8 THH 1/8 THT 1/8 TTH 1/8 TTT 1/8\begin{array} { c | c } \mathrm { X } & \text { Probability of sequence } \mathrm { X } \\\hline \text { HHH } & 1 / 8 \\\text { HHT } & 1 / 8 \\\text { HTH } & 1 / 8 \\\text { HTT } & 1 / 8 \\\text { THH } & 1 / 8 \\\text { THT } & 1 / 8 \\\text { TTH } & 1 / 8 \\\text { TTT } & 1 / 8\end{array}
Is X a random variable? Why or why not? If it is not, which associated variable is a random variable? Give the probability distribution of the associated random variable.

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No, X is not a random variable because i...

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