L3 Discrete Probability students.pptx

L3 Discrete Probability students.pptx - LECTURE 3...

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1 LECTURE 3 PROBABILITY DISTRIBUTION Discrete Probability Distribution Binomial Distribution Poisson Distribution
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Introduction to Probability Distributions Random Variable Represents a possible numerical value from a random event Takes on different values based on chance Random Variables Discrete Random Variable Continuous Random Variable today Next week 2
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A discrete random variable is a variable that is determined by counting ie can assume only a countable number of values Many possible outcomes: number of complaints per day number of TV’s in a household number of rings before the phone is answered Only two possible outcomes: gender: male or female defective: yes or no spreads peanut butter first vs. spreads jelly first Discrete Random Variable 3
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I. The sum of the probabilities of all the outcomes is 1. Σ P(X) = 1 II. The probability of a particular outcome is between 0 and 1. 0 ≤ P(X) ≤ 1 III. The outcomes are mutually exclusive. Main features of Discrete Probability Distributions
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Mean of a probability distribution Variance of a probability distribution . Standard Deviation of a probability distribution The Mean, Variance and Standard Deviation of a Discrete Probability Distributions 2 2 2 2 2 ) ( ) ( ) ( ) ( ) (
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