Probability Distributions Table and Graphical Displays.

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Presentation transcript:

Probability Distributions Table and Graphical Displays

Probability Distributions - Definition

Probability Distribution Probability

Probability Distribution Probability

Probability Distribution Probability Important Features: Must list all possible outcomes All outcomes must have a probability associated with them The probabilities must add up to exactly 1.

Example Suppose that you are playing with a weighted die and after tossing several hundred times the following probability distribution summarizes the results Probability

Example Probability

Example Probability

Example Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Probability

Weighted Die Construct a graphical representation of the probability distribution Probability

Weighted Die Construct a graphical representation of the probability distribution Probability

Assignment

Assignment Construct a probability distribution for the sum of tossing 2 fair dies. Give both the table version and a graphical display for the distribution. Start out by listing all possible outcomes and determining the sum.

Assignment Construct a probability distribution for the sum of tossing 2 fair dies. Give both the table version and a graphical display for the distribution. Start out by listing all possible outcomes and determining the sum

Assignment Construct a probability distribution for the sum of tossing 2 fair dies. Give both the table version and a graphical display for the distribution. Start out by listing all possible outcomes and determining the sum Prob 21/36 32/36

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