Question

The following table represents the highest educational attainment of all adultresidents in a certain town. If a resident who is 40 or older is chosen at random, whatis the probability that they have completed a bachelor's or master's degree? Roundyour answer to the nearest thousandth,

Answer 1

We want to find the probability that a resident who is 40 or older has completed a bachelor's or master's degree.

The sample space is the total number of people that are 40 years or older, this is;

$3827+7106=10933$

The total number of bachelor's degree holders 40 or older is;

$726+2160=2886$

The total number of master's degree holders 40 or older is; 655 + 1226 = 1881

Therefore, we find that the probability that a resident who is 40 or older has completed a bachelor's or master's degree is;

$\begin{gathered} P(\text{bachelors)}+P(\text{masters)} \\ =\frac{2886}{10933}+\frac{1881}{10933}=\frac{4767}{10933}=0.436 \end{gathered}$