document.write( "Question 1058645: There are 1000 students in a high school. Among the 1000 students, 250 students take AP Statistics, and 100 students take AP French. 80 students take both AP courses. Let S be the event that a randomly selected student takes AP Statistics, and F be the event that a randomly selected student takes AP French. Show all work. Just the answer, without supporting work, will receive no credit.
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document.write( "(a) Provide a written description of the complement event of (S OR F).
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document.write( "(b) What is the probability of complement event of (S OR F)? \n" );
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Algebra.Com's Answer #673738 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There are 1000 students in a high school. Among the 1000 students, 250 students take AP Statistics, and 100 students take AP French. 80 students take both AP courses. Let S be the event that a randomly selected student takes AP Statistics, and F be the event that a randomly selected student takes AP French. Show all work. Just the answer, without supporting work, will receive no credit. \n" ); document.write( "-------------- \n" ); document.write( "Draw a Venn Diagram:: \n" ); document.write( "Sketch a rectangle with 2 intersecting circles inside. \n" ); document.write( "Label the rectangle:: 1000 \n" ); document.write( "Label the intersection:: 80 \n" ); document.write( "Label the AP Stat circle with 250 -80 = 170 students who take Stat b(ut no French \n" ); document.write( "Label the AP Frence circle with 100-80 = 20 students who take French and no Stat \n" ); document.write( "-------------------- \n" ); document.write( "Note: There are now 170+80+20 = 270 students in S OR F \n" ); document.write( "-------------------------- \n" ); document.write( "(a) Provide a written description of the complement event of (S OR F). \n" ); document.write( "(S OR F)' is the set of all students who do not take Stat or French \n" ); document.write( "------------------------ \n" ); document.write( "(b) What is the probability of complement event of (S OR F)' \n" ); document.write( "P(S OR F)' = 1 - (270/1000) = 730/1000 = 0.73 \n" ); document.write( "----------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------------------\r \n" ); document.write( "\n" ); document.write( "? \n" ); document.write( "-------------------- \n" ); document.write( " |