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How many heartbeats do you have each minute? How many points will your favorite team score in their game tonight? These any many other real-world values can be modeled by discrete random variables.

The probability distribution of a discrete random variable \( X \) defined in the domain \( x= 0, 1 ,2 \) is as follows:

\[\begin{align} P( X= 0 ) &= 0.11 \\ P( X= 1 ) &= 0.29 \\ P( X= 2 ) &= a. \end{align} \] Find the value of \( a. \)

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