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)

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

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.

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step-by-step explanation:

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