If ![X \rightarrow \bigcup [a,10] and P(3\ \textless \ X\ \textless \ 7) =\frac{1}{2}](https://tex.z-dn.net/?f=X+%5Crightarrow+%5Cbigcup++%5Ba%2C10%5D+and+P%283%5C++%5Ctextless+%5C+X%5C++%5Ctextless+%5C+7%29+%3D%5Cfrac%7B1%7D%7B2%7D "X \rightarrow \bigcup [a,10] and P(3\ \textless \ X\ \textless \ 7) =\frac{1}{2}")
, find the value of a.
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