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Question 1
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A random variable $X$ has the probability distribution:
\[\begin{array}{c|ccccccccc}
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline
P(X=x) & a & 3a & 5a & 7a & 9a & 11a & 13a & 15a & 17a
\end{array}
\]The value of $a$ is: