Math 203_Lecture 6

Math 203_Lecture 6 - Principles of Statistics 1 Lecture 6:...

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Unformatted text preview: Principles of Statistics 1 Lecture 6: Math 203 Abbas Khalili Department of Mathematics and Statistics McGill University May 10, 2011 Principles of Statistics 1 Lecture 6: Math 203 p. 1/3 3 Family of distributions Some of the discrete probability distributions are used so often that we give them certain names. Principles of Statistics 1 Lecture 6: Math 203 p. 2/3 3 Family of distributions Some of the discrete probability distributions are used so often that we give them certain names. Today we will learn about: Principles of Statistics 1 Lecture 6: Math 203 p. 2/3 3 Family of distributions Some of the discrete probability distributions are used so often that we give them certain names. Today we will learn about: Bernoulli distribution Principles of Statistics 1 Lecture 6: Math 203 p. 2/3 3 Family of distributions Some of the discrete probability distributions are used so often that we give them certain names. Today we will learn about: Bernoulli distribution Binomial distribution . Principles of Statistics 1 Lecture 6: Math 203 p. 2/3 3 Family of distributions Some of the discrete probability distributions are used so often that we give them certain names. Today we will learn about: Bernoulli distribution Binomial distribution . Before introducing the above distributions, we need to know about Bernoulli experiment . Principles of Statistics 1 Lecture 6: Math 203 p. 2/3 3 Bernoulli experiment It is a random experiment that has only two possible outcomes: success or failure . Principles of Statistics 1 Lecture 6: Math 203 p. 3/3 3 Bernoulli experiment It is a random experiment that has only two possible outcomes: success or failure . The sample space of such experiment is then S = { success , failure } Principles of Statistics 1 Lecture 6: Math 203 p. 3/3 3 Bernoulli experiment It is a random experiment that has only two possible outcomes: success or failure . The sample space of such experiment is then S = { success , failure } Examples: female or male, life or death, nondefective or defective, absence or presence, cancer or non-cancer. Principles of Statistics 1 Lecture 6: Math 203 p. 3/3 3 Bernoulli random variable Corresponding to a Bernoulli experiment, we define the Bernoulli random variable X that takes two values , 1 corresponding to the two outcomes failure and success . Principles of Statistics 1 Lecture 6: Math 203 p. 4/3 3 Bernoulli random variable Corresponding to a Bernoulli experiment, we define the Bernoulli random variable X that takes two values , 1 corresponding to the two outcomes failure and success . That is X ( failure ) = 0 , X ( success ) = 1 . Principles of Statistics 1 Lecture 6: Math 203 p. 4/3 3 Bernoulli random variable Corresponding to a Bernoulli experiment, we define the Bernoulli random variable X that takes two values , 1 corresponding to the two outcomes failure and success ....
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This note was uploaded on 07/15/2011 for the course MATH 203 taught by Professor Dr.josecorrea during the Summer '08 term at McGill.

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Math 203_Lecture 6 - Principles of Statistics 1 Lecture 6:...

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