Answer
a. .7224
b. .2776
c. The chance is fairly high.
Work Step by Step
a. We first find the value of s:
$s=\sqrt{\frac{(.6)(.4)}{50}}=.0048$
Thus, we find the value of $\hat{p}$:
$\hat{p}=p+zs=.29$
Using the equation for z based on $\hat{p}$ and consulting the table of z-scores, we find that the probability is .7224.
b. We find that the probability is $=1-.7224=.2776$.
c. Since .7224 is a fairly good probability, we see that the chance is fairly high.
