SOLUTION: It is estimated that 25% of all California adults are college graduates and that 31% of California adults are regular internet users. It is also estimated that 21% of California ad

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Question 1179356: It is estimated that 25% of all California adults are college graduates and that 31% of California adults are regular internet users. It is also estimated that 21% of California adults are both college graduates and regular internet users
a) Among California adults, what is the probability that a randomly chosen internet user is a college graduate? Round your answer to 2 decimal places.

(b) What is the probability that a California adult is an internet user, given that he or she is a college graduate? Round your answer to 2 decimal places.

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
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It is estimated that 25% of all California adults are college graduates and that 31% of California adults
are regular internet users. It is also estimated that 21% of California adults are both college graduates
and regular internet users
a) Among California adults, what is the probability that a randomly chosen internet user is a college graduate?
Round your answer to 2 decimal places.
(b) What is the probability that a California adult is an internet user, given that he or she is a college graduate?
Round your answer to 2 decimal places.
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(a)  P(a randomly chosen internet user is a college graduate) =


        //  use the definition of the conditional probability 


        = P%28both%29%2FP%28internet_user%29 = 0.21%2F0.31 = 0.68   (rounded).    ANSWER



(b)  P(a California adult is an internet user, given that he or she is a college graduate) = 


         //  use the definition of the conditional probability 


        = P%28both%29%2FP%28college_graduate%29 = 0.21%2F0.25 = 0.84   (rounded).    ANSWER

Solved.

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This problem is to develop your skills solving the  conditional probability  problems.

To develop these skills farther and to get feeling of the solid ground under your legs, read the lessons
    - Conditional probability problems
    - Conditional probability problems REVISITED
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Solved problems on Probability"
and  "Additional problems on Probability".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.