Answer
No we cannot use the normal approximation to the binomial.
Work Step by Step
n = 24, p = 0.85, q = 0.15
If np $\geq$ 5 and nq $\geq$ 5 we can use the normal approximation to the binomial.
np = 24 $\times$ 0.85 = 20.4
nq = 24 $\times$ 0.15 = 3.6
