AP STATS UNIT 4 | Rules = Normal Jeopardy

Vocab

100

All possible outcomes of an experiment or set of trials

Sample Space

200

A specific desired outcome or set of outcomes of an experiment or set of trials

Event

300

Two events that can not happen together

Mutually Exclusive

400

Two events that do not influence one another

Independent

500

2 possible outcomes, fixed probability, independent, fixed # trials

Bernoulli Trial

General Equations

100

P(A u B) = P(A) + P(B) - P(A n B)

General Addition Rule

200

P(A u B) = P(A) + P(B)

Mutually Excllusive Addition Rule

300

P(A^C) = 1 - P(A)

Complement Rule

400

P(A n B) + P(A) * P(B)

Independent Multiplication Rule

500

P(A n B) = P(A) * P(B|A)

Dependent Multiplication Rule

General Equations Pt. 2

100

P(B) = P(B|A)

Proving Independence

200

P(A|B) = P(A n B) / P(B)

Conditional Probability

300

P(A n B^c) = P(A) - P(A n B)

Complement Intersection equation

400

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

Binomial Notation

500

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

Geometric Notation

Means + Standard Deviations

100

μ_x =E(X)

Discrete Random Variable Means

200

μ_x = np

Binomial Distribution Means 

300

μ_x = 1/p

Geometric Distribution Means 

400

σ_x = (√1-p) / p

Geometric Standard Deviations

500

σ_x = √np(1-p)

Binomial Standard Deviations

Transforming Discrete Variables

100

When reporting mean and SD in dollars, values must...

be converted to $ BEFORE input and output from transformation equations

200

Expected value of the addition/subtraction of two variables

E(X+/-Y) = E(X) +/- E(Y)

300

Standard deviation of the addition/subtraction of two variables

σ_X+/-Y = √σ_X² + σ_Y²

400

Mean transformation: E(A+Bx)

E(A+Bx) = A + (B * (E(X))

500

Standard Deviation Transformation: σ_A+Bx

σ_A+Bx = |B| * σ_x when a is a constant