Ch. 4 & 5 - Elementary Probability Theory & Binomial Probability Distribution

EPT & BPD

Sample Space

All possible outcomes of experiment

Event

subset of sample space

Complement Rule

Probability that an event does not occur
P(Ec)=1−P(E)

Mutually Exclusive Addition

P(A or B) = P(A) + P(B)

Non Mutually Exclusive Addition

P(A or B) = P(A) + P(B) - P(A and B)

Multiplication (for independent events)

P(A and B) = P(A) * P(B)

Combination

(n | k) = n!/k!((n-k)!

Binomial Probability

P(X=k) = (n | k) * p^k * (1-p)^n-k

Mean

μ = np

Variance

σ = np (1-p)

Standard Deviation

sqrt of variance

n

number of

k

p