Question 1109930
This is a 1 sample proportion test
x is the random variable and the proportion of those chosen who are male
possible values are [0, 100], integers only.
E(X)=np=0.3*100=30.
V(X)=np(1-p)=30*0.7=21
sd is sqrt (21) or 4.6
probability of 24 males is 100C25*0.3^25*0.7^75=0.0496
getting fewer than 36 using normal approximation at 35.5
(35.5-30)/4.6 is z
z=+1.20
probability that z < 1.20 is 0.8849.