PPT-Predicting Outcomes Using Probability Lines &

Writing Probabilities 36 Learning Goal Today we will learn about probability so that we can predict an outcome or several events using a probability line Well know weve got it when we can express probability using fractions. Objectives:. By the end of this section, I will be. able to…. Explain what constitutes a binomial experiment. . Compute probabilities using the binomial probability formula.. Find probabilities using the binomial tables.. http://mikeess-trip.blogspot.com/2011/06/gambling.html. 1. Uses of Probability. Gambling. Business. Product preferences of consumers. Rate of returns on investments. Engineering. Defective parts. Physical Sciences. calculus. 1 ≥ . Pr. (h) ≥ 0. If e deductively implies h, then Pr(h|e) = 1. .. (disjunction rule) If h and g are mutually exclusive, then . Pr. (h or g) = . Pr. (h) . Pr. (g). (disjunction rule) If h and g are . 3.1 . The Concept of Probability. 3.2 . Sample Spaces and Events. 3.3 . Some Elementary Probability Rules. 3.4 . Conditional Probability and Independence. 3.5 . Bayes’ Theorem. 3-. 2. Probability Concepts. What we learned last class…. We are not good at recognizing/dealing with randomness. Our “random” coin flip results weren’t streaky enough.. If B/G results behave like independent coin flips, we know how many families to EXPECT with 0,1,2,3,4 girls.. Probability is used all of the time in real life. Gambling . Sports. Weather. Insurance. Medical Decisions. Standardized Tests. And others. Definition of Probability. “The . likelihood of something . Slide . 2. Probability - Terminology. Events are the . number. of possible outcome of a phenomenon such as the roll of a die or a fillip of a coin.. “trials” are a coin flip or die roll. Slide . Section 5.1. Randomness, Probability, and Simulation. HAPPY HALLOWEEN!!!!!!. Example 1: . When you toss a coin, there are only two possible outcomes, heads or tails. The figure below on the left shows the results of tossing a coin 20 times. For each number of tosses from 1 to 20, we have plotted the proportion of those tosses that gave a head. You can see that the proportion of heads starts at 1 on the first toss, falls to 0.5 when the second toss gives a tail, then rises to 0.67, and then falls to 0.5, and 0.4 as we get two more tails. After that, the proportion of heads continues to fluctuate but never exceeds 0.5 again.. Criterion-Related Validation. Regression & Correlation. What’s the difference between the two?. Significance . Testing. Type I and type II errors. Statistical power to reject the null. . Chapter 6 Predicting Future Performance. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . 7.9 and 7.10. Theoretical Probability. Theoretical Probability is the ratio of the number of ways an event can occur to the number of possible outcomes.. The . Theoretical Probability. of an event is the . Section 5.1. How Probability Quantifies Randomness. Probability—outline:. I Introduction to Probability. A Satisfactory outcomes vs. total outcomes. B Basic Properties. C Terminology. II Combinatory Probability. calculus. 1 ≥ . Pr. (h) ≥ 0. If e deductively implies h, then Pr(h|e) = 1. .. (disjunction rule) If h and g are mutually exclusive, then . Pr. (h or g) = . Pr. (h) + . Pr. (g). (disjunction rule) If h and g are . 4. Interpret probability as a long-run relative frequency. . Dispel . common myths about randomness.. Use . simulation to model chance behavior.. Randomness, Probability, and Simulation. Randomness, Probability, and Simulation.