PROBABILITY DISTRIBUTIONS

Feb 01, 2014

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POPULATIONS. A population is a collection of all the items or observations of interest to the decision maker.E.g. The population of 12 year olds in county Limerick.The population of private cars in Ireland.The population of graduates in United Kingdom.. SAMPLES. A sample is a subset of the popula

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PROBABILITY DISTRIBUTIONS

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Probability Distributions

Probability Distributions. W&W Chapter 4. Discrete Random Variables. Suppose a couple plan to have 3 children and are interested in the number of girls they might have. This is an example of a random variable , and is denoted by a capital letter: X = the number of girls

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Probability Distributions

Probability Distributions. A random variable is a variable (letter) whose values are determined by chance It can be continuous (something that’s measured) or discrete (something that’s counted) Continuous examples: temperature, weight Discrete examples: numbers on dice

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Probability Distributions

Probability Distributions. Continuous Random Variables. Continuous Random Variables. A random variable was a numerical value associated with the outcome of an experiment. Finite discrete random variables were ones in which the values were countable whole numbered values

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PROBABILITY DISTRIBUTIONS

PROBABILITY DISTRIBUTIONS. FINITE CONTINUOUS ∑ N g = N N v Δ v = N. PROBABILITY DISTRIBUTIONS. FINITE CONTINUOUS ∑ N g = N N v Δ v = N P g = N g /N ∫N v dv = N P v = N v /N. PROBABILITY DISTRIBUTIONS. FINITE CONTINUOUS

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Probability Distributions

Probability Distributions. 2010.

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Probability Distributions

Probability Distributions. ROCKS!!!!!!!!. Agenda. Probability Distributions Binomial Distributions Geometric Distributions Hypergeometric Distributions. Probability Distribution. The probability distribution consists of a table of values of X=x and P(x) or a graph.

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Probability Distributions

Probability Distributions. Random Variable. A random variable x takes on a defined set of values with different probabilities. For example, if you roll a die, the outcome is random (not fixed) and there are 6 possible outcomes, each of which occur with probability one-sixth.

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Probability Distributions

Probability Distributions. Mrs. Padilla AP Stats Windsor High School. . Contents The Probability Distribution Elementary Probability Definition of Probability The Binomial Distribution The Mean and Standard Deviation of the Binomial Distribution The Poisson Distribution

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Probability Distributions

Probability Distributions. Histograms. Histograms…contd. A histogram helps us study the shape of a frequency distribution For example, we expect that length (or weight) of most organisms follows the familiar bell-shape

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Probability Distributions

Probability Distributions. Random Variable A numerical outcome of a random experiment Can be discrete or continuous Generically, x Probability Distribution The pattern of probabilities associated with all of the random variables for a specific experiment Can be a table, formula, or graph

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Probability Distributions

Probability Distributions. Problem: Suppose you are taking a true or false test with 6 questions…. But you didn’t study at all. Take out a coin and a piece of paper – you will flip your coin to answer the following problems. Heads is true, tails is false. STATISTICS 257 Final Exam – Oh no!.

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PROBABILITY DISTRIBUTIONS

PROBABILITY DISTRIBUTIONS. Chapter 6. 6.1 Summarize Possible Outcomes and their Probabilities. Random Variable. Random variable is numerical outcome of random phenomenon. www.physics.umd.edu. Random Variable. Letters near end of alphabet, x , symbolize Variables

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Probability Distributions

Probability Distributions. Section 7.6. Definitions. Random Variable: values are numbers determined by the outcome of an experiment. (rolling 2 dice: rv’s  2 through 12) Probability Distribution: function which maps each value of a rv onto its probability.

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Probability Distributions

Probability Distributions. ALGEBRA 2 LESSON 12-1. (For help, go to Lesson 1-6.). Suppose you roll a standard number cube. State whether each set represents a sample space for the outcomes. 1. {1, 2, 3, 4, 5, 6} 2. {less than 3, 4, 5, 6} 3. {even, prime}

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Probability Distributions

Probability Distributions. Chapter 6. GOALS. Define the terms probability distribution and random variable. Distinguish between discrete and continuous probability distributions. Calculate the mean, variance, and standard deviation of a discrete probability distribution.

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Probability Distributions

Probability Distributions. Random Variables * Discrete Probability Distributions * Mean, Variance, and Standard Deviation * Expected Value. Fill in the blanks 1 – 3. 1. Random Variable: A count or an ________________ of a probability experiment. (Uses numerical values). outcome.

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Probability Distributions

Probability Distributions. D E F I N I T I O N S Variable: A variable is an entity that can assume multiple values. Random Variable: A random variable is a variable that takes on different values based on chance. In other words, there are probabilities associated with the possible

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Probability Distributions

Probability Distributions. How many kittens lie in any selected part of a pile of kittens?. Probability Distributions. Sometimes we want to know the chances that something will occur? For example: What are the odds that I will win the lottery? What are my chances of getting an A?

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Probability Distributions

Probability Distributions. W&W Chapter 4. Continuous Distributions. Many variables we wish to study in Political Science are continuous, rather than discrete. Military expenditures Budget data We need a continuous probability distribution, rather than a discrete one (such as the binomial).

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Probability Distributions

Probability Distributions. What proportion of a group of kittens lie in any selected part of a pile of kittens?. Probability Distributions. Sometimes we want to know the chances that something will occur? For example: What are the odds that I will win the lottery?

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Probability Distributions

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PROBABILITY DISTRIBUTIONS

PROBABILITY DISTRIBUTIONS. Probability distributions → A listing of all the outcomes of an experiment and the probability assosiated with each outcome, the type : a. Discrete Probability Distributions b. Continuos Probability Distributions How can we generate a probability distribution ?

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