table of Contents
Bernoulli model
Introducing the concept of
- Independent test sequence : \ (E_1 .... E_n \) , can test different scenarios
- n independent experiments weight : \ (E_1, ... E_1 E_1 \) , must be the same experiment
- Bernoulli test : The test results are only two, \ (\ Omega = \ lbrace 0, 1 \ rbrace \)
- n re Bernoulli trials : n times, independently, only two results
Bernoulli's theorem
- \ (A is the probability P (A), \ overline {A} the probability is 1-P (A) \)
- \ (Denoted A k th occurrence P_n (k) = C_n ^ kP ^ k (1-P) n-fold Bernoulli trial ^ {nk}, also known as the binomial probability formula. \)
Binomial
\ [(A + b) ^ n = ^ C_n the C_n ^ n + ^ {n-1} to {^ n-1} + b + .... C_n 1ab ^ ^ {n + 1} C_n 0B ^ ^ n \]