Answer
a) $0.7224$
b) $0.2776$
c) The chance is fairly high.
Work Step by Step
a) We first find the value of $s$:
$s=\sqrt{\frac{(0.6)(0.4)}{50}}=.0048$
Then we find the value of $\hat{p}:
\hat{p}=p+zs=0.29$
Using the equation for $z$ based on $\hat{p}$ and checking the table of z-scores, we find that the probability is $0.7224$.
b) We find that the probability is $1−0.7224=0.2776$.
c) Since $0.7224$ is a quite good probability, we can see that the chance is fairly high.
