hw2_solution - 120A HW 2 6(a the sample space is...

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120A HW 2 6 : (a), the sample space is { 1g,1f,1s,0g,0f,0s } , ie, that is there are 6 possible outcomes. (b), A =the event that patient is in serious condition= { 1s,0s } . (c), B =the event that patient is uninsured= { 0g,0f,0s } . (d), B c = { 1g,1f,1s } , so B c S A = { 1s,1g,1f,0s } . 11 : a good way to solve this problem is using Vein diagram. (a), Percentage of males smokes neither cigars nor cigarettes=1-(28%+7%-5%)=70%. explanation: (28%+7%-5%) is the percentage of males smokes either cigars or cigarettes. (b), Percentage of males smokes cigars but not cigarettes=7%-5%=2%. explanation: by subtracting 5%, we exclude people smoke both cigars and cigarettes from the group of people who smoke cigars. 28 : without replacement, total number of possible choices is ( 5+6+8 3 ) = ( 19 3 ) ; (a), number of interesting choices (3 balls are of the same color) is ( 5 3 ) + ( 6 3 ) + ( 8 3 ) by using addition rule. So the probability= ( 5 3 ) + ( 6 3 ) + ( 8 3 ) ( 19 3 ) = 0 . 08875129; (b), number of interesting choices is ( 5 1 )( 6 1 )( 8 1 ) by using multiplication rule, because it takes 3 steps to draw 3 balls from the urn. So the probability= ( 5 1 )( 6 1 )( 8 1 ) ( 19 3 ) = 0 . 247678;
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