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Selecting Input Probability Distributions

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2. . Outline. Sources of randomnessPitfalls in modeling simulation input dataChoosing a distribution when data are availableHypothesizing families of distributionsEstimation of parametersDetermining how representative the fitted distributions areChi-square testChoosing a distribution in the

Selecting Input Probability Distributions

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Probability Distributions

Probability Distributions. W&amp;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

759 views • 28 slides

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

500 views • 8 slides

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

1.03k views • 31 slides

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. 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&amp;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).

519 views • 27 slides

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 ?

364 views • 27 slides

Probability Distributions

Probability Distributions. Information. Random variables. A random variable , x , is a variable whose values are determined by chance, such as the outcome of rolling a die.

328 views • 22 slides

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