Question

A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey is randomly selected , what is the probability that they lived in 2 or more states and that they have a college degree? P( 2 state or more U Degree )
0.655

0.111

0.310

0.500

Answer 1

Solution :

P(2 states or more | college degree)

$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$

Total number of people = 58

The number of people who lived in two states or more than two states and also have a college degree = 18

Therefore,

$\text{P(2 states or more states and college degree)} = \frac{18}{58}$

The number of people who have a college degree = 20

So, $\text{P(college degree)} = \frac{20}{58}$

Thus,

$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$

                                                      $=\frac{18}{20}$

                                                      = 0.900