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Math 425 All Answers Correct

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Math 425 All Answers Correct (x+y)^n= the sum from k=0 to k=n of: [(n choose k)*x^(n-k)*y^k (x1+x2+...+xr)^n= the sum over all n1,n2...,nr such that n1+n2+...+nr=n of: [(n choose n1,n2,...,nr)*x1^n1*x2^n2+...+xr^nr Probability space ... How many ways to pair up 20 people 20!/(2^10*10!) ...

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  • October 16, 2024
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  • 2024/2025
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Math 425 All Answers Correct

(x+y)^n= ✅the sum from k=0 to k=n of: [(n choose k)*x^(n-k)*y^k



(x1+x2+...+xr)^n= ✅the sum over all n1,n2...,nr such that n1+n2+...+nr=n of: [(n choose
n1,n2,...,nr)*x1^n1*x2^n2+...+xr^nr



Probability space ✅...



How many ways to pair up 20 people ✅20!/(2^10*10!)



How many handshakes in 20 person room? ✅20 choose 2



Sample Space ✅The set of all possible outcomes of an experiment



Event ✅Any subset of the sample space



Mutually Exclusive ✅Two events, A and B, such that A intersect B is the empty set



The Two Versions of the Distributive Laws ✅1. A intersect (B union C)=(A intersect B) union (A intersect
C)

2. A union (B intersect C) = (A union B) Intersect (A union C)



Demorgan's Law ✅1. (A union B)^c=A^c intersect B^c

2. (A intersect B)^c=A^c union B^c



State the three probability axioms ✅A probability function is a junction with a domain of all events
within sample space, S, with the properties:

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