Answer
Yes, we can use the normal distribution to approximate the distribution of x.
Work Step by Step
If np $\geq$ 5 and nq $\geq$ 5, then the normal distribution can be used to approximate the binomial.
np = 20 $\times$ 0.65 = 13
nq = 20 $\times$ 0.35 = 7
Since np $\gt$ 5 and nq $\gt$ 5, the normal distribution can be used to approximate the binomial.