Find the Expected Value Find the Expected Value of Height for Women at This

Multiple Choice

Find the expected value.
-The following table gives the distribution of heights for female students at one U.S. college. $$\begin{array}{l}\text { Height category }\\\begin{array} { l | l } \text { (inches) } & \text { Percentage } \\\hline 57 - 59 & 7.2 \\60 - 62 & 20.5 \\63 - 65 & 36.9 \\66 - 68 & 19.7 \\69 - 71 & 10.5 \\72 \text { and over } & 5.2\end{array}\end{array}$$ Find the expected value of height for women at this college. Use the midpoint of each category, (for example use 58 for the 57-59 category) . Use 74 for the 72 and over category.

A) 64.7 in.
B) 63.9 in.
C) 64.3 in.
D) 65.1 in.