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25 Cards in this Set
- Front
- Back
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Binomial PF
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C(n,x) p^x q^(n-x)
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Negative Binomial PF
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C(x+k-1, x) p^x q^x
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Geometric PF
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p q^x
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Hypergeometric PF
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(C(r,x) C(N - r, n - x)) / C(N,n)
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Poisson PF
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e^(-λ)λ^x / x!
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Uniform PDF
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1 / (b -a)
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Exponential PDF
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1/θ e^(-x/θ)
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Covariance
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E(XY) - E(X)E(Y)
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Variance
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E(X^2) - E(X)^2
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Correlation Coefficient
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Cov(X,Y)/std(X)std(Y)
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MGF
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E(e^(xt))
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Conditional
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P(A|B) = P(AB)/P(B)
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Bayes' Theorem
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P(A|B) = ( P(B|A)P(A)) / P(B|A)P(A) + P(B|~A)P(~A)
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Binomial Mean
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np
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Binomial Variance
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np(1-p)
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Negative Binomial Mean
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kq/p
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Negative Binomial Variance
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kq/p^2
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Geometric Mean
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q/p
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Geometric Variance
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q/p^2
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Hypergeometric Mean
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nr/N
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Hypergeometric Variance
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n r/N (1 - r/N) (N-n/ N-1)
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Poisson Mean
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λ
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Poisson Variance
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λ
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Uniform Mean
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a+b/2
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Uniform Variance
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(b-a)^2/2
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