Answer
No, we cannot use the normal distribution to approximate the binomial distribution.
Work Step by Step
n = 20, p = 0.78, q = 0.22
np = 20 x 0.78 = 15.6
nq = 20 x 0.22 = 4.4
Remember: If np $\geq$ 5 and nq $\geq$ 5, we can use the normal distribution to approximate the binomial.
np $\geq$ 5 but nq $\lt$ 5, so we cannot use the normal distribution to approximate the binomial.
