AP STATISTICS: ALL FORMULAS CH 1-6 FINAL REVIEW (INCOMPLETE)

Mean (Expected Value)

(mu = E(X))

Discrete Variable (Mean)

mu = sum x,P(X=x)

Discrete Variable (Variance/SD)

sigma^2 = sum (x-mu)^2 P(X=x)

Standard Deviation (Random Variables)

sigma = sqrt{sigma^2}

Mean of X +- Y

mu(x) +- mu(y)

Variance of X +- Y

sqrt{(sigma(x)²) + (sigma(y)²)}

z-score (norm distribution)

x - mu / sigma

reverse z score

mu + z(sigma)

continuous random variable (PDF)

P(a < X < b) = ∫ab​ f(x) dx

continuous random variable (CDF)

f(x) = P(X<= x)

Binomial Distribution (Probability)

P(X = x) = (n x)p^x(1-p)^n-x

Binomial Distribution (Mean)

mu = np

Binomial Distribution (Variance/SD)

sigma = sqrt{np(1-p)}

Binomial Coefficient

(n x) = n! / x!(n-x)!

Geometric Distribution (Probability)

P(X = x) = (1-p)^x-1p

Geometric Distribution (Mean)

mu = 1/p

Geometric Distribution (Variance/SD)

sigma = sqrt{1-p} / p

Sampling Distributions and Standard Error

SE(xbar) = sigma/sqrt{n}

The 10% condition

n <= .10N