Answer with explanation:
Number of voters who support ballot initiative = 30 %=0.30
Number of voters who does not support this initiative
[tex]=1 -\frac{30}{100}\\\\=\frac{70}{100}[/tex]
=0.70
Number of voters selected for Surveying =5
Probability that exactly 2 voters will be in favor of the ballot initiative is given by ,if P denotes Success and Q denotes failure
[tex]=_{2}^{5}\textrm{C}*P^2*Q^3\\\\=10*(0.3)^2*(0.7)^3\\\\=10* 0.09*0.343\\\\=0.9*0.343\\\\=0.3087[/tex]
If we round up to nearest thousandth, Required Probability = 0.309
