MC MA 116 - Chapter 5 The Binomial Probability Distribution and Related Topics (28 pages)

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Chapter 5 The Binomial Probability Distribution and Related Topics



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Chapter 5 The Binomial Probability Distribution and Related Topics

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Pages:
28
School:
Montgomery College
Course:
Ma 116 - Elements Of Statistics

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Chapter 5 The Binomial Probability Distribution and Related Topics Understandable Statistics Ninth Edition By Brase and Brase Prepared by Yixun Shi Bloomsburg University of Pennsylvania Statistical Experiments and Random Variables Statistical Experiments any process by which measurements are obtained A quantitative variable x is a random variable if its value is determined by the outcome of a random experiment Random variables can be discrete or continuous Copyright Houghton Mifflin Harcourt Publishing Company All rights reserved 5 2 Random Variables and Their Probability Distributions Discrete random variables can take on only a countable or finite number of values Continuous random variables can take on countless values in an interval on the real line Probability distributions of random variables An assignment of probabilities to the specific values or a range of values for a random variable Copyright Houghton Mifflin Harcourt Publishing Company All rights reserved 5 3 Discrete Probability Distributions 1 Each value of the random variable has an assigned probability 2 The sum of all the assigned probabilities must equal 1 Copyright Houghton Mifflin Harcourt Publishing Company All rights reserved 5 4 Probability Distribution Features Since a probability distribution can be thought of as a relative frequency distribution for a very large n we can find the mean and the standard deviation When viewing the distribution in terms of the population use for the mean and for the standard deviation Copyright Houghton Mifflin Harcourt Publishing Company All rights reserved 5 5 Means and Standard Deviations for Discrete Probability Distributions Copyright Houghton Mifflin Harcourt Publishing Company All rights reserved 5 6 Linear Functions of Random Variables Let a and b be constants Let x be a random variable L a bx is a linear function of x Copyright Houghton Mifflin Harcourt Publishing Company All rights reserved 5 7 Finding and for Linear Functions of x Copyright Houghton



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