Find two $z$ values so that $48\%$ of the middle area is bounded by them.

Find two $z$ values, one positive and one negative, that are equidistant from the mean so that the areas in the two tails add to the following values. \

$$5 \%$$

Find two $z$ values, one positive and one negative, that are equidistant from the mean so that the areas in the two tails add to the following values. \

$$1 \%$$

Determine the $z$ value to the right of the mean so that

a. $54.78 \%$ of the area under the distribution curve lies to the left of it. b. $69.85 \%$ of the area under the distribution curve lies to the left of it. c. $88.10 \%$ of the area under the distribution curve lies to the left of it.

Find the $z$ value to the right of the mean so that
c. $88.10 \%$ of the area under the distribution curve lies to the left of it.

Find the $z$ value to the right of the mean so that
b. $69.85 \%$ of the area under the distribution curve lies to the left of it

Find the $z$ value to the right of the mean so that
a. $54.78 \%$ of the area under the distribution curve lies to the left of it.

Find the $z$ value to the left of the mean so that
c. $60.64 \%$ of the area under the distribution curve lies to the right of it.

Approximately $10.3 \%$ of American high school students drop out of school before graduation. Choose 10 students entering high school at random. Find the possibility that

a. No more than 2 drop out

b. At least 6 graduate

c. All 10 stay in school and graduate

Find the $z$ value to the left of the mean so that
b. $82.12 \%$ of the area under the distribution curve lies to the right of it.

Find the $z$ value to the left of the mean so that
a. $98.87 \%$ of the area under the distribution curve lies to the right of it.

Determine the $z$ value to the left of the mean so that

a. $98.87 \%$ of the area under the distribution curve lies to the right of it.

b. $82.12 \%$ of the area under the distribution curve lies to the right of it.

c. $60.64 \%$ of the area under the distribution curve lies to the right of it.

Teachers' Salaries The average annual salary for all U.S. teachers is $\$ 47,750$. Assume that the distribution is normal and the standard deviation is $\$ 5680$. Find the probability that a randomly selected teacher earns
More than $\$ 40,000$ a year

Teachers' Salaries The average annual salary for all U.S. teachers is $\$ 47,750$. Assume that the distribution is normal and the standard deviation is $\$ 5680$. Find the probability that a randomly selected teacher earns
If you were applying for a teaching position and were offered $\$ 31,000$ a year, how would you feel (based on this information)?