Chapter 9.3, Problem 42E

To determine

To calculate: The probability distribution and expected values of medium SUVs $\left(Z\right)$ and midsize cars $\left(V\right)$ from the table displaying the crashworthiness of several categories of motor vehicles,

		Overall Frontal Crash Test Rating
	Number Tested	$\begin{array}{c}3\\ \left(\text{Good}\right)\end{array}$	$\begin{array}{c}2\\ \left(\text{Acceptable}\right)\end{array}$	$\begin{array}{c}1\\ \left(\text{Marginal}\right)\end{array}$	$\begin{array}{c}0\\ \left(\text{Poor}\right)\end{array}$
$\text{Small cars }X$	$16$	$1$	$11$	$2$	$2$
$\text{Small SUVs }Y$	$10$	$1$	$4$	$4$	$1$
$\text{Medium SUVs }Z$	$15$	$3$	$5$	$3$	$4$
$\text{Passenger Vans }U$	$13$	$3$	$0$	$3$	$7$
$\text{Midsize cars }V$	$15$	$3$	$5$	$0$	$7$
$\text{Large cars }W$	$19$	$9$	$5$	$3$	$2$

Also, interpret which vehicle performed better in the frontal crashes.