1 ) In a certain year, 89 of all Caucasians in the U S , 75 of all African Americans, 75 of all Hispanics, and 80 of residents not classified into one of these groups used the Internet for e mail At that time, the U S population was 68 Caucasian, 11 African American, and 10 Hispanic What percentage of U S residents who used the Internet for e mail were Hispanic (Round your answer to the nearest whole percent ) 2 ) According to a study in a medical journal, 202 of a sample of 5,990 middle aged men had developed diabetes It also found that men who were very active (burning about 3,500 calories daily) were afifth as likely to develop diabetes compared with men who were sedentary Assume that one half of all middle aged men are very active, and the rest are classified as sedentary What is the probability that a middle aged man with diabetes is very active (Round your answer to four decimal places ) 3 ) Use Bayes' theorem or a tree diagram to calculate the indicated probability Round your answer to four decimal places HINT See Example 3 Y 1 , Y 2 , Y 3 form a partition of S P ( X Y 1 ) 8, P ( X Y 2 ) 1, P ( X Y 3 ) 1, P ( Y 1 ) 7, P ( Y 2 ) 2 Find P ( Y 1 X )

Question

1 ) In a certain year, 89  of all Caucasians in the U S , 75  of all African Americans, 75  of all Hispanics, and 80  of residents not classified into one of these groups used the Internet for e mail  At that time, the U S  population was 68  Caucasian, 11  African American, and 10  Hispanic  What percentage of U S  residents who used the Internet for e mail were Hispanic  (Round your answer to the nearest whole percent ) 2 ) According to a study in a medical journal, 202 of a sample of 5,990 middle aged men had developed diabetes  It also found that men who were very active (burning about 3,500 calories daily) were afifth as likely to develop diabetes compared with men who were sedentary  Assume that one half of all middle aged men are very active, and the rest are classified as sedentary  What is the probability that a middle aged man with diabetes is very active  (Round your answer to four decimal places ) 3 ) Use Bayes' theorem or a tree diagram to calculate the indicated probability  Round your answer to four decimal places  HINT  See Example 3   Y 1 , Y 2 , Y 3 form a partition of S   P ( X   Y 1 )   8, P ( X   Y 2 )   1, P ( X   Y 3 )   1, P ( Y 1 )   7, P ( Y 2 )   2  Find P ( Y 1   X )

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1.) In a certain year, 89% of all Caucasians in the U.S., 75% of all African-Americans, 75% of all Hispanics, and 80% of residents not

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