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math 30 lecture 4

# math 30 lecture 4 - PROBABILITY AND STATISTICS SET...

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PROBABILITY AND STATISTICS SET: DEFINITIONS AND PROPERTIES MATH 30: PROBABILITY AND STATISTICS

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SET any collection of distinct objects. ordering of elements are unnecessary. 𝑆 1 = *1,2,3,4, … + 𝑆 2 = *2,4,6,8+ 𝑆 3 = *4,2,6,8+ Note: 𝑆 1 is an infinite set while 𝑆 2 and 𝑆 3 are finite. 𝑆 2 and 𝑆 3 are technically the same. MATH 30: PROBABILITY AND STATISTICS
Rule method describes a set by some rule. Roster method list down all the elements in a set. Rule: 𝑆 𝑆 𝑖? ? ???𝑖?𝑖𝑣? 𝑖???𝑔?? 𝑙??? ?ℎ?? 6+ Roster: *2,3,4,1,5+ |𝑆| describes the set’s cardinality, i.e., the number of elements in a set. MATH 30: PROBABILITY AND STATISTICS

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Terms and Properties Empty (null) set is the set containing no elements, denoted by or . Two sets A and B are equal, ? = ?, if A and B have the same elements. Two sets A and B are equivalent if A and B have the same cardinality. MATH 30: PROBABILITY AND STATISTICS
Terms and Properties A set A is a subset of B, ? ⊆ ?, if every element of A is in B.

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math 30 lecture 4 - PROBABILITY AND STATISTICS SET...

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