Probability and Distributions Abstract This paper will discuss the trends and data values and how they relate to statistical terms. Also will describe the probability of different actions to the same group of data. The data will be broke down accordingly to qualitative and quantitative data, and will be grouped and manipulated to show how the data in each group can prove to be useful in the workplace. Memo To: Head of American Intellectual Union From: Abby Price Date: 3/05/2014
Conditional Probability Huafeng Zhang I. Introduction Everyone in a way use conditional probability even if they don’t realize the science behind it. Non-statisticians use conditional probability without recognizing it mostly when they make decisions or judgments, for example they will be less likely to lend money to people who borrowed his money but haven 't returned the money back. Statisticians think of conditional probability in both logical and quantitative way. II. Conditional Probability for Statisticians
Introduction The word Probability derives from probity, a measure of the authority of a witness in a legal case in Europe, and often correlated with the witness 's nobility. In a sense, this differs much from the modern meaning of probability, which, in contrast, is used as a measure of the weight of empirical evidence, and is arrived at from inductive reasoning and statistical inference. A short history of Probability Theory............ The branch of mathematics known as probability theory was inspired
DICE AND PROBABILITY LAB Learning outcome: Upon completion, students will be able to… * Compute experimental and theoretical probabilities using basic laws of probability. Scoring/Grading Rubric: * Part 1: 5 points * Part 2: 5 points * Part 3: 22 points (2 per sum of 2-12) * Part 4: 5 points * Part 5: 5 points * Part 6: 38 points (4 per sum of 4-12, 2 per sum of 3) * Part 7: 10 points * Part 8: 10 points Introduction: While it is fairly simple to understand
Introduction Objectives PROBABILITY 2.2 Some Elementary Theorems 2.3 General Addition Rule 2.4 Conditional Probability and Independence 2.4.1 Conditional Probability 2.4.2 Independent Events and MultiplicationRule 2.4.3 Theorem of Total Probability and Bayes Theorem 2.5 Summary 2.1 INTRODUCTION You have already learnt about probability axioms and ways to evaluate probability of events in some simple cases. In this unit, we discuss ways to evaluate the probability of combination of events
Chapter 1 The Probability in Everyday Life In This Chapter Recognizing the prevalence and impact of probability in your everyday life Taking different approaches to finding probabilities Steering clear of common probability misconceptions You’ve heard it, thought it, and said it before: “What are the odds of that happening?” Someone wins the lottery not once, but twice. You accidentally run into a friend you haven’t seen since high school during a vacation in Florida. A cop pulls you over the
QUESTION 1 Probability Show all calculations/reasoning Question: 1(a) Basic Laws of Probability The additive law of probabilities Probability is known as mutually exclusive events, The sum of Separate probabilities likely to be one event occur or another. Example: Place 100 marbles in a box; 35 blue, 45 red, and 20 yellow. P(blue)=.35 P(red)=.45 P(yellow)=.20 What is the probability of choosing either a red or a yellow marble from the box? P(red or yellow)
likely they are to happen, using the idea of probability. Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. Probability is indeed used in real life, especially in the field of economics. Economists proceed to model the behavior of economic agents by assuming that these agents form probability estimates. However, there is an interesting division between economists who tend to treat these probability estimates as subjective and those who treat
and partitioning. 1. Starfish, shark, whale and dolphin probability: The probability of picking a starfish will equal the number of starfish (3) divided by the total number (10). Therefore, the probability of the student picking a starfish is 3/10. The probability of picking a shark will be 3 sharks out of 10. This equals 3/10 The probability of whales will be 3/10 and the probability of dolphins will be 1/10. 2. How are the probabilities affected if each student replaces his or her sea animal
1(a) Basic Laws of Probability The additive law of probabilities Probability is known as mutually exclusive events, The sum of Separate probabilities likely to be one event occur or another. Example: Place 100 marbles in a box; 35 blue, 45 red, and 20 yellow. P(blue)=.35 P(red)=.45 P(yellow)=.20 What is the probability of choosing either a red or a yellow marble from the box? P(red or yellow) = P(red)+ P(yellow) = .45+.20 = .65 The multiplicative law of probabilities The multiplicative