• Shuffle
    Toggle On
    Toggle Off
  • Alphabetize
    Toggle On
    Toggle Off
  • Front First
    Toggle On
    Toggle Off
  • Both Sides
    Toggle On
    Toggle Off
  • Read
    Toggle On
    Toggle Off
Reading...
Front

Card Range To Study

through

image

Play button

image

Play button

image

Progress

1/17

Click to flip

Use LEFT and RIGHT arrow keys to navigate between flashcards;

Use UP and DOWN arrow keys to flip the card;

H to show hint;

A reads text to speech;

17 Cards in this Set

  • Front
  • Back

Union of two events

p(E1∪E2) = p(E1) + p(E2) - p(E1∩E2)

Probability of E given F

p(E|F) = p(E∩F)/p(F)

Baye's Theorm

Given a partition {E1,E2,...} of a sample space:



p(Ei|F) = p(Ei∩F)/p(F) = p(F|Ei) p(Ei) / Σj p(F|Ej) p(Ej).

The events E and F are independent IFF

p(E∩F) = p(E)p(F)

Probability of K success in N Bernoulli trials

p = P(success)
q = P(failure)

p = P(success)


q = P(failure)

Binomial Distribution

Geometric Distribution


number of trials until the first success.

p ∈ (0,1]

p ∈ (0,1]

Poisson distribution

X ∼ P(λ) if


...


λ - average number of events in given time interval.

X ∼ P(λ) if


...


λ - average number of events in given time interval.

Let X be a discrete random variable. Define the expected value of X

Expectation of geometric distribution.

Expectation of Binomial distribution

Expectation of Poisson distribution

General Var(X)=

Variance of Bernoulli trials

Var(X)=pq

Variance of Geometric distribution

Variance of Binomial distribution

Variance of Poisson distribution