SOLUTION: 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

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.
(a) Provide a written description of the complement event of (S OR F).
(b) What is the probability of complement event of (S OR F)?
Answer by stanbon(75887) (Show Source): 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.
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Draw a Venn Diagram::
Sketch a rectangle with 2 intersecting circles inside.
Label the rectangle:: 1000
Label the intersection:: 80
Label the AP Stat circle with 250 -80 = 170 students who take Stat b(ut no French
Label the AP Frence circle with 100-80 = 20 students who take French and no Stat
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Note: There are now 170+80+20 = 270 students in S OR F
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(a) Provide a written description of the complement event of (S OR F).
(S OR F)' is the set of all students who do not take Stat or French
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(b) What is the probability of complement event of (S OR F)'
P(S OR F)' = 1 - (270/1000) = 730/1000 = 0.73
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Cheers,
Stan H.
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