Special Discrete Distributions: Geometric Distributions.

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Presentation transcript:

Special Discrete Distributions: Geometric Distributions

Geometric Distributions Properties: There are two mutually exclusive outcomes Each trial is independent of the others The probability of success remains constant for each trial. The random variable x is the number of trials UNTIL the FIRST success occurs.

The difference between binomial and geometric properties is that there is NOT a fixed number of trials in geometric distributions! Differences between binomial & geometric distributions

Binomial random variables start with 0 while geometric random variables start with 1. Other differences: Binomial distributions are finite, while geometric distributions are infinite.

Geometric Formulas: (These are not on the formula sheet. They need to be memorized!!!)

Count the number of boys in a family of four children. Binomial: X01234 Count children until first son is born Geometric:... X

What is the probability that the first son is the fourth child born? What is the probability that the first son is born is at most the fourth child born?

A real estate agent shows a house to prospective buyers. The probability that the house will be sold to the person is 35%. What is the probability that the agent will sell the house to the third person she shows it to? How many prospective buyers does she expect to show the house to before someone buys the house?

Assignments Geometric Activity –Due Monday, 07 December WS Geometric Distributions –Due Monday, 07 December 2015.