STAT 1000Q Lecture Notes - Lecture 5: Venn Diagram, Face Card, Sample Space

• School: UConn
• Department: Statistics
• Course: STAT 1000Q
• Professor: Robert Apruzese

Document Summary

Statistic notes 1000q- lecture #5- algebraic combinations of events. The i(cid:374)terse(cid:272)tio(cid:374) of a a(cid:374)d b: a b. If there are (cid:374)o (cid:272)o(cid:373)(cid:373)o(cid:374) out(cid:272)o(cid:373)es, a b = (cid:1004) O(cid:374) a ve(cid:374)(cid:374) diagra(cid:373), a b is (cid:449)here the (cid:272)harts o(cid:448)erlap. The union of a and b: a b. The set of all outcome in a, b, or both. Formula: p(a) + p(b)- p(cid:894)a b(cid:895) A b is su(cid:271)tra(cid:272)ted si(cid:374)(cid:272)e it is dou(cid:271)le (cid:272)ou(cid:374)ted (cid:271)(cid:455) addi(cid:374)g up a and. Set of all outcomes not in the event. The event that a did not occur. Ac is the symbol- in the sample space, outside of the diagram. Example 1: toss a fair die once, so sample space= (1,2,3,4,5,6), a= (1,4,5), P (a u b) = p(a) + p(b) - p(cid:894)a b(cid:895)= (cid:1008)/(cid:1010) P (bc) = 1- p(b) = 4/6. P(r) + p(f) - p (cid:894)r f(cid:895) Example 1: a random sample of 5 cards is drawn from a deck of 52.