# Geometric - What is the probability that you will catch...

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Learning Objectives Recognize and use the probability mass functions of common discrete random variables: Uniform Bernoulli Binomial Geometric Poisson

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Geometric Construct from a sequence of n Bernoulli RV’s with parameter p Geometric RV is the number of trials k until the first success (success in the k th trial) Geometric RV X with parameter p p X ( k ) = (1 - p ) k - 1 pk = 1 ,2 , K ,
Example Each time you cast your line, you catch a fish with 3% probability.

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Unformatted text preview: What is the probability that you will catch your first fish on your 5th attempt? 03 . ) 03 . 1 ( ) ( 1--= k X k p p X ( k = 5 ) = (1-.03 ) 5-1 .03 = .02 66 p p k p k X 1 ) 1 ( ) (--= Example 0.2 0.4 0.6 0.8 1 1 2 3 4 5 6 7 8 9 10 11 k p(k) p=0.1 p=0.5 p=0.9 Exercises Exercise #1 Exercise #2...
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## This note was uploaded on 02/22/2010 for the course BME 335 taught by Professor Dunn during the Spring '10 term at University of Texas at Austin.

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Geometric - What is the probability that you will catch...

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