Calculate the $z$-score that marks the cutoff for the top $10\%$ of the standard normal distribution.

Given the data for the systolic blood pressure of adult women with a mean of $122\text{ mmHg}$ and a standard deviation of $14\text{ mmHg}$, assuming a normal distribution, find the probability that an adult woman has a systolic blood pressure less than $108\text{ mmHg}$.

Using a TI-84 graphing calculator, how would you calculate the probability that a z-score is less than -1.25?

A group of $60$ students took a chemistry quiz. The histogram for their scores is shown:

Four midpoints, $A$, $B$, $C$, and $D$, are marked on the histogram at scores of $45$, $60$, $65$, and $75$, respectively. Which of the four midpoints reasonably corresponds to a $z$-score of $2.18$?

Scores on a standardized math test are normally distributed with a mean of $70$ and a standard deviation of $10$. A randomly selected student scored $55$ on the test.

(a) What is the $z$-score corresponding to the student’s score?

(b) Based on the $z$-score, would this score be considered unusual?

Determine the indicated $z$-score in the following graph:

A study finds that $29\%$ of university freshmen own a car. If you randomly select $15$ freshmen, what is the probability that fewer than $5$ of them own a car? Decide whether or not applying the normal approximation is suitable for this case, and if using it is possible. Is this event considered unusual?