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# Lecture13 - ECO 220Y Lecture 13 Random Variables and...

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ECO 220Y Lecture 13 Random Variables and Probability Distributions Discrete Probability Migiwa Tanaka Reading: 7.4 1

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Outline Two Discrete Probability Distributions Bernoulli Bernoulli Trials Bernoulli Random Variables Bernoulli Distribution Binomial Binomial Trials Binomial Random Variables Binomial Distribution 2
Discrete Probability Distribution here are some known discrete probability distribution There are some known discrete probability distribution Bernoulli Binomial isson Poisson Multinomial Features of these distributions are known. One can apply these features if assumptions of the underlying experiment fit one of them. 3

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Bernoulli Trial efinition: xample: Definition: A random experiment Example: with two possible outcomes: Toss a fair coin: ccess ead (H) Success ilure Success Head (H) Failure Tail (T) b biliti Failure Probability of each t Probabilities: P(H)=p=0.5 outcome: P(Success)=p P(T)=1-p=0.5 P(Failure)=1-p 4
Bernoulli Random Variable efine a random variable X Define a random variable X.

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• Spring '11
• tanaka
• Probability theory, Binomial distribution, Discrete probability distribution, Bernoulli Distribution, binomial random variable, Bernoulli trials

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Lecture13 - ECO 220Y Lecture 13 Random Variables and...

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