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Example: the birthday problem ... birthdays of people are independent. pn = probability that n people have different birthdays ...

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Using Probability and Discrete Probability Distributions Chapter 4 - Chapter Outcomes After studying the material in this chapter, you should be able to: Understand ...

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He can reach there by MTR, Bus or Tram respectively. The following information is given: ... Tram. 5/9. 2/8. Bus. 1/4. 5/8. MTR. Probability of being late ...

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What is the probability of committing a Family-wise Type I Error? ... (Homework: How does that follow from the probability properties) Bonferroni adjustment: b= /T ...

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Expected Value Average- what you would expect given a probability distribution. ... If one car is selected at random, find the probability it is not defective ...

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Probability Overview Probability is the study of random events. The probability, or chance, that an event will happen can be described by a number between 0 and 1: A ...

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Chapter 6 Probability 6.2 Assigning probabilities to Events Random experiment a random experiment is a process or course of action, whose outcome is uncertain.

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Probability Denoted by P(Event) This method for calculating probabilities is only appropriate when the outcomes of the sample space are equally likely.

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Probability Tree. Draw a probability tree when you have sequential occurrences. The probability of the event occurring is the product of the probabilities on the one ...

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Probability & Area * Probability & Area Real World Example: T-Shirts. A cheerleading squad plans to throw t-shirts into the stands using a sling shot.

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PROBABILITY References: Budiyono. 2010. Statistika untuk Penelitian: Edisi Kedua. Surakarta: UNS Press. Spigel, M. R. 1882. Probability and Statistics.

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Probability What are the chances? Definition of Probability All probabilities are between 0 and 1. That means there are always more possible outcomes than successful ...

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Probability & Tree Diagrams OCR Stage 8 What are Tree Diagrams A way of showing the possibilities of two or more events Simple diagram we use to calculate the ...

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Probability TRUE OR FALSE? TRUE OR FALSE? I ve spun an unbiased coin 3 times and got 3 tails. It is more likely to be heads than tails if I spin it again.

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Probability Calculating Probabilities Rolling a 0 on a number cube Rolling a number less than 3 on a number cube Rolling an even number on a number cube Rolling a ...

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Probability A study of chance Definitions Probability is the measure of how likely an event is The probability that a certain event will occur = number of ways ...

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Probability Discussion Topics Conditional Probability Probability using the general multiplication rule Independent event Question 1 Males (In millions) Females (In ...

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Title: Book 2B Chapter 7 Probability Author: Bennett Last modified by: Nick Marsh Created Date: 11/24/2003 10:47:16 AM Document presentation format

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Title: Probability Author: owner Last modified by: owner Created Date: 3/7/2010 4:52:09 PM Document presentation format: On-screen Show (4:3) Other titles

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A very useful presentation to get information about probability.

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Probability Probability In this chapter will be: Certain, impossible or possible Equally likely outcomes Using numbers to represent probability Calculating ...

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Probability Exercises Independence Two events are independent, if knowing that one event happened doesn t give you any information on whether the other happened.

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Title: 1 Probability Author: Fai Last modified by: Lek Created Date: 11/2/2005 3:05:35 AM Document presentation format: On-screen Show

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Probability Review Definitions/Identities Random Variables Expected Value Joint Distributions Conditional Probabilities Probability Defined an event (experiment) has ...

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Probability & Stochastic Processes for Communications: A ... video/audio primer on probability (not stochastic processes) ... in stochastic processes: ...

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Probability Part 1 A Few Terms Probability represents a (standardized) measure of chance, and quantifies uncertainty. Let S = sample space which is the set of all ...

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Probability The Concept of Probability Sample Spaces and Events Some Elementary Probability Rules Conditional Probability and Independence Probability An experiment ...

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Probability 'It is remarkable that this science (probability), which originated ... How many ways can we arrange students in the front row of class? Permutations Rule ...

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Probability theory appeared between 1654 (a minute and a half ago) and 1843 (34 seconds ago) ... emergence of elementary probability theory in the 1650s met ...

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Probability Chapter 3 Methods of Counting The type of counting important for probability theory involves choosing the number of ways we can arrange a set of items.

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... The probability of winning the lottery and buying a ticket is dependent ... a low probability of buying a lottery ticket has a lower probability of holding ...

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Probability Experimental Probability Law of Large Numbers Basic Rules of Probability Independent Ex. 6) A certain brand of light bulbs are defective five percent of ...

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Assigning Probabilities to Events. Random experiment ... What are some examples of events that can be broken down into more outcomes? ...

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Probability * * What is the sample space? junior Left-handed Left-handed junior S * Example cont. Define the events: A is junior B is left-handed ...

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Probability Definition of Probability The probability of an event equals the number of times it happens divided by the number of opportunities.

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Probability Distribution Probability Distributions: Overview To understand probability distributions, it is important to understand variables and random variables.

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When we are asked to find the probability of a union of events, we use the ... Drawing two cards from a deck and getting a 6 on the second draw. ...

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... that a professor is in his/her office given that the door is ajar is 0.89. Suppose that the probability that the professor's office door is ajar is 0.32. ...

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... will have blond or red hair is 23%. The probability of having blond hair is 14 ... b) What is the probability of having neither blond nor red hair? ...

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... (A), putting it back in the deck, and then selecting a spade from the deck (B) ... Find the probability of selecting a diamond, and then selecting a spade. ...

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Two cards are selected, without replacement, from a deck. Find the probability of selecting a diamond, and then selecting a spade. ...

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If, under a given assumption, the probability of a particular observed event is ... six coins (a penny, a nickel, a dime, a quarter, a half dollar, and a silver ...

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Theoretical probability Theoretical probability is worked out without experiments. The possibilities are used to work out the chances by listing them all, taking ...

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Probability Concepts Introduction to Business Statistics, 5e Kvanli/Guynes/Pavur (c)2000 South-Western College Publishing Events and Probability An activity for which ...

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Chapter 6 Discrete Probability Distributions Overview These are probability distributions that are designed to model discrete variables Many of the discrete ...

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Probability Jeopardy certain possible impossible likely unlikely Which term means that there is more of a chance of something happening than not happening?

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