exam 2 cheat sheet

exam 2 cheat sheet - Jonna Alley MAT173 Periodical =...

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Jonna Alley MAT173 Periodical = A(n)=A o (1 + r) n A(n):final amt A o : initial amt r: rate n: time in yrs. ex. 4% weekly 5 yrs. r=.04/52 n=52*5 Continuous F=Pe rt double: 2=e rt P: initial r: rate t: time in yrs. Yield y=e r – 1 (y in dec. form) r: rate Expondist E(x) = α (mean) V(x) = α 2 σ (stand.dev.)= α Lambda = 1/ α If: P(Y , ,>,< #) in excel: x= #, Lambda=1/ α (aka parameter) cum=true If: P(Y= #) x= #, lambda =1/ α cum=false If: E(Y) = α If: “between a and b” α = # P(a x b)=P(x b) – P(x a) =(1 – e -b/ α ) – (1 – e -a/ α ) If: at least b P(x b)= 1 – P(x b)= 1 – (1-e -b/ α ) Exponential Random Variable If: Y=exp. Random variable Y=12 mins. Find P(x > 10) 1-P(x 10)=1-(1-e -10/12 )=e -10/12 Excel: P(x>10)=1-expondist(10,1/12,true) Find P(x=13) =expondist(13,1/12,false) Binomdist Exp. Value for x: E(x)=n*p -create list 0-n colms for x and p(x) If: P(x #)= binomdist: #’s = #, Trials=n, prob.=p, cum=true(bc ) If: P(x

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This note was uploaded on 04/02/2008 for the course MATH 173 taught by Professor Smith during the Spring '07 term at Arizona.

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exam 2 cheat sheet - Jonna Alley MAT173 Periodical =...

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