4-2_geom_rv

# 4-2_geom_rv - Lecture 4.2(cont Geometric Random Variables...

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1 Lecture 4.2 (cont.) Geometric Random Variables Geometric Probability Distributions Through 2/24/08 NC State’s free-throw percentage is 70.7% (118/328 in Div. 1). In the next game what is the probability that the first missed free-throw by the ‘Pack occurs on the 5 th attempt?

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2 Binomial Experiments n identical trials n specified in advance 2 outcomes on each trial usually referred to as “success” and “failure” p “success” probability; q=1-p “failure” probability; remain constant from trial to trial trials are independent The binomial rv counts the number of successes in the n trials When n = 1, a binomial experiment is called a Bernoulli trial
3 The Geometric Model A single Bernoulli trial is usually not all that interesting. A geometric random variable counts the number of Bernoulli trials until the first success is observed. A geometric random variable is completely specified by one parameter, p , the probability of success, and is denoted Geom( p ).

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