1. A single observation, $x$, is taken from a discrete random variable $X\textasciitilde{}B(25,p)$ to test ${H}_{0}∶p=0.2$ against  ${H}_{1}∶p\neq0.2.$  

For the purposes of this test, the critical regions are specified as being  $X\leq1$ and $X\geq9$.

Calculate the probability of incorrectly rejecting the null hypothesis when conducting this test.