Answer
0.067
Work Step by Step
We have $p=0.3, n=800$
so $np=240\gt5, n(1-p)=560\gt5$
we can use normal approximation to the binomial distribution.
$\mu=np=240, \sigma=\sqrt {np(1-p)}=13.0$
Use $X=259.5, z=\frac{259.5-240}{13}=1.5$
The probability above z=1.5 is 0.067