Answer
No, we cannot use the normal distribution to approximate the binomial.
Work Step by Step
n = 35, p = 0.11, q = 0.89
np = 35 x 0.11 = 3.85
nq = 35 x 0.89 = 31.15
Remember: If np $\geq$ 5 and nq $\geq$ 5, we can use the normal distribution to approximate the binomial.
Since nq $\geq$ 5 and np $\lt$ 5, we cannot use the normal distribution to approximate the binomial.