Question

use a normal approximation to find the probability of the indicated number of voters. in this case assume that 145 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of them voted

The probability that fewer than 35 of 145 eligible voters voted is what?

Answer 1

the answer i have is this

Answer 2

n=145
p=0.22

mean, mu=np=31.9
SD=145*.22*(1-.22)=4.9881
z=(35-31.9)/4.9881=0.6214
P(less than 37 voted)=P(z is less than .6215

now i am stuck