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Unformatted text preview: Probability of success p Probability of failure q=1p. Let X be random variable of Bernoulli distribution. Outcome Success 1 Failure Probability p q=1p X can take value of either 0 or 1 Notation: X ~ Ber (p) Setting: 1. Each observation falls into one of two categories: Success or Failure 2. P (Success) = p Probability mass function is f(x)= Ping Ma Lecture 9 Fall 2005  3 Expected value Variance A sequence of Bernoulli Trials: A sequence of Bernoulli experiments are conducted independently and the probability of success (p) remains the same. Example: For a million of instant lottery tickets, suppose that 205 are winner, If 5 tickets are purchased, what is the probability we have (0,0,0,1,0) Ping Ma Lecture 9 Fall 2005  4 Ping Ma Lecture 9 Fall 2005  5 ...
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This note was uploaded on 07/24/2008 for the course STAT 400 taught by Professor Tba during the Fall '05 term at University of Illinois at Urbana–Champaign.
 Fall '05
 TBA
 Statistics, Bernoulli

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