91影视

In the language of government statistics, you are 鈥渋n the labor force鈥� if you are available for work and either working or actively seeking work. The unemployment rate is the proportion of the labor force (not of the entire population) who are unemployed. Here are data from the Current Population Survey for the civilian population aged $25$years and over in a recent year. The table entries are counts in thousands of people.

We need to find that whether the events 鈥渋n the labor force鈥� and 鈥渃ollege graduate鈥� independent

It is known that; two events $\mathrm{A}$and $\mathrm{B}$can be considered as independent if:

$P(A鈭�B)=P\left(A\right)$

The probabilities could be calculated as:

$$\begin{gathered} P(\text{Labor force}鈭�\text{College graduate})=\frac{125133}{186667} \\ =0.6704 \end{gathered}$$

$$\begin{gathered} P\left(\text{Labor foce}\right)=\frac{125133}{186667} \\ =0.6704 \end{gathered}$$

Here

$P\text{(Labor force| College graduate)}鈮�P\text{(Labor force)}$

localid="1649754666472" $0.7830鈮�0.6704$

Thus, two events are not independent events.