s 2728 The following table displays information about 200 high schol studenits F
ID: 3304425 • Letter: S
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s 2728 The following table displays information about 200 high schol studenits Four variables are displayed 1) Gender-male or female Socioeconomic status (SES) # low middle, or high ehink of this a.. measure of famly ncome) 2, (3) Whether a student is ereolled in an honors English course enrolled or not enrolled 4) The general plan of s for the student- general academic, or wocational Gender and SES alefenale ow middle high Low middle high not enrolled l general 1e 16 14 12 vocation 14 enrolled general academic vocation From this table, we can see there are 91 males and 109 femalies If we select one of se 200 sudents calculate the following probabilises (rounded to the nearest hundred andom 27·Plmale vocanonal progam AND not enroled in honors Engish AND low SES) )002 b)0.40 0.57 d 060 e) Answer or provided 8 Plow SES AND male | academic program AND enrolled in honors English )001 b) 0 03 c)0.35 )0.38 e)Answer ot provided 29. Ihave 3 coins in my pocket. Two of the coins ane fair and the third coin is a double headed coin fe always lands heads). Otherwise the coins look and feel identical to each other l reach into my pocket and randomly choose a coin, so the probablity I chose the double-headed coin is 13 fip the coin 3 times and in lands heads all 3 times. Given hese results (3 heads in 3 flipsl what's the probabiley the coin is the double-headed coin? Circle the 0.33 b) 0.67 0.75 d)0.80 0.90Explanation / Answer
27) probability =4/(4+6) =0.40 option b
28)probability =1 /(1+5+9+6+6+13)=0.025 option e
29)probability of all 3 heads =P( fair coin and heads)+P( unfair coin and all 3 heads) =(2/3)*(1/2)3 +(1/3)*(1)3
=0.4167
therfore probability of double head ed coin given all 3 heads =(1/3)*(1)3/0.4167 =0.8
option D
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