exam 2 cheat sheet

exam 2 cheat sheet - Exam 2 Study Sheet NORMAL P(x=15...

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Exam 2 Study Sheet NORMAL P(x=15), normdist(15,mean,stdev,false) (stdev=sqrt(variance)) If given x, use normdist() P(x>45), 1-normdist(45,mean,stdev,true) If given p(x), use norminv() Find P(# 1 <z<# 2 ) = p(x<# 2 )-P(x<# 1 ) =normdist(# 2 ,true) – normdist(# 1 ,true) BINOMIAL P(x=15), binomdist(15,n,p,false ) P(x>45), 1-binomdist(45-1,n, p, true) bin/histogram max min binwidth = (max-min)/# columns bin: min p(x) = freq/total min+bw freq = total * p(x) max tools-->data analysis-->histogram-->input = all values in sample--> bin= bin except min and max-->outputrange= where-->chart output DISCRETE (Binom./Uniform) Discrete, autosum μ (mean)=n*p Continuous, integrate σ (st.dev.)=sqrt(n*p*q) q = 1 - p mean = average of all data st.dev.= STDEV of all data NORMAL? create rand. # gen. graph histogram, perfect bell curve? YES empirical rule, follow checks? YES EMPIRICAL - + % check 1 st.dev. mean-1stdev mean+1stdev sum % b/w -- & + in bin >= 68% 2 st.dev. mean-2stdev mean+2stdev sum % b/w -- & + in bin >= 95% 3 st.dev. mean-3stdev mean+3stdev sum % b/w -- & + in bin >= 99% CONTINUOUS (Normal/Uniform/Exp) mean = (max+min)/2 st.dev. = (max-min)/sqrt(12) discrete
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