need help with this problem

Question

If
np greater than or equals 5np≥5
and
nq greater than or equals 5nq≥5?,
estimate
Upper P left parenthesis fewer than 2 right parenthesisP(fewer than 2)
with
nequals=1414
and
pequals=0.40.4
by using the normal distribution as an approximation to the binomial? distribution; if
npless than<5
or
nqless than<?5,
then state that the normal approximation is not suitable.

Answer 1

n=14, p=.4, q=.6

what is P(x<2)??

x bar=np= 14(.4)= 5.6

var =npq= 5.6(.6)= 33.6

sd = sqr33.6= about 5.8

z=(2-5.6)/5.8= about -0.62069 for x=2

find area under normal curve= p(x<2)= .2674= 26.74% chance

use z tables