chap1 - Chapter 1 Sample Space and Probability 1 Sets S T =...

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Unformatted text preview: Chapter 1 Sample Space and Probability 1 Sets S T = { x ; x S or x T } and S T = { x ; x S and x T } If S = { , , } and T = { , , } then S T = { , , , } and S T = { , } . Shade on separate graphs S T and S T . S T S T Let S be the set of (strictly) positive even integers and T be the set of integers less than or equal to 9. Then S T = { . . . ,- 2 ,- 1 , . . . , 8 , 9 , 10 , 12 , 14 , 16 , . . . } and S T = { 2 , 4 , 6 , 8 } . Let S be the set of polynomials of degree less than or equal to 2 and T be the set of differentiable functions f with f (0) = f (0) = 0. Describe S T . S c = { x ; x 6 S } , ( S c ) c = S , S S c = and S S c = If = { , , , } and S = { , } then S c = { , } . Shade on separate graphs S c T c and ( S T ) c . 1 2 MTH2222 Mathematics of Uncertainty S T S T What do you notice? Within the set of positive integers, what is the complement of the set of even integers? S \ T = { x ; x S and x 6 T } = S T c Shade S \ T and T \ S . S T S T = ( S \ T ) ( T \ S ) What is ( S T ) ( S T )? S ( T U ) = ( S T ) ( S U ) S T U S T U Chapter 1 3 and S ( T U ) = ( S T ) ( S U ) S T U S T U [ n =1 S n = S 1 S 2...
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chap1 - Chapter 1 Sample Space and Probability 1 Sets S T =...

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