University:
McMaster University
Course:
STATS 1LL3 | Introduction to Probability and Statistics
Academic year:

2023
Views:

346

Pages:

2
Author:

Sabrina S.

Complements Given the sample space of S, we define the complement of a set A to be the set of elements of S which are not in A. The complement of A is written A, and is always relative to the sample space S. B KS-1,2,3,4,5,6} 53,663, A. 1.3.53 and B. {2,4,6} then we write A "the complement of A equals B If S= { x 1 0 ≤ x ≤1} 13 or A complement equals B and D-Exlocx<1} find D Because the set D excludes endpoints of the interval from zero to one Venn diagrams Think of all the points in the rectangle as being the sample space S, and all the points inside the circle for A and B as the sets A and B respectively. The shaded area in the diagram, where the circles overlap then represent AB, the set of points belonging to A and B. Similarly the space of both individual circles and their overlap represent AUB, the set of points belonging to A or B * helpful to associate "intersection with 'and' and 'union" with "or x 1 B. 1,2,3,4,5,63 A B why? B does not contain all the elements that A does 1.e A contains 1.5 and 2.5 etc Sample space the set of all possible outcomes of a random experiment (in venn diagram outer rectangle) Empty sets A set which has no elements Intersection the intersection of two sets containg those elements common to both Unions the union of sets A and B contains those elements that are either in in B or in both A and B A or Mulually Exclusive two sets are mutually exclusive when their intersection is the empty set Pairwise mutually exclusive and exhaustive sexs two sets that corve of S left out up the sample space (s) into o partition with no elements Complement the complement of a set contains all elements that are not in that set.