Waiting Time for a run of n successes in
 Bernoulli Sequences

Lucas Monteiro CHAVES[1]

Devanil Jaques de SOUZA1

§    ABSTRACT: We use j-step Fibonacci numbers to derive the expected value and the variance for the distribution of the waiting time for n consecutive successes in a Bernoulli sequences.  For the Bernoulli parameter p=1/2 the exact distribution is obtained.

§    KEYWORDS:  Fibonacci numbers; waiting time distribution; Bernoulli sequences.

 



[1] Departamento de Ciências Exatas, Universidade Federal de Lavras – UFLA, Postal Box: 37, CEP: 37200-000, Lavras, MG, Brazil. E-mail:lucas@ufla.br / djs@oi.com.br