This question is incomplete, the complete question is;
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 that attended college is randomly selected what is the probability that they also lived in 2 or more states during their life? P(2 state or more | College Degree)
Lived in just Lived in 2 or Total
1 state more states
No High School Diploma 6 2 8
High School Diploma 14 16 30
College Degree 2 18 20
Total 22 36 58
Options;
a) 0.111
b) 0.310
c) 0.500
d) 0.900
Answer:
The required probability is 0.9
Option d) 0.900 is the correct answer.
Step-by-step explanation:'
Given the data in the question;
Total number of people in the survey or sample size n = 58
Number of people with college degree who live in 2 or more state = 18
P(2 states or more and college degree) = Number of people with college degree who live in 2 or more state / Total number of people in the survey
P(2 states or more and college degree) = 18 / 58
Also, Total number of people with college degree = 2 + 18 = 20
so, P( College Degree ) = Total number of people with college degree / Total number of people in the survey
P( College Degree ) = 20 / 58
Therefore, P(2 state or more | College Degree) will be;
⇒ P(2 states or more and college degree) / P( College Degree )
⇒ ( 18 / 58 ) / ( 20 / 58 )
⇒ ( ( 18 / 58 )58 ) / 20
⇒ (( 18 × 58 ) / 58 ) / 20
⇒ 18 / 20
⇒ 0.9
Therefore, The required probability is 0.9
Option d) 0.900 is the correct answer.
