Chapter 7- Probability

Chapter 7- Probability. A phenomenon is random if any individual outcome is unpredictable, but each outcome tends to occur in a fixed proportion of a very long sequence of repetitions. Examples : Toss a coin Roll a pair of dice Sex of a newborn baby Draw one card from a deck

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Chapter 7 Sets Probability

Lie detectors are not admitted as evidence in courtroom trials due to the fact they are not 100% reliable. An experiment was conducted in which a group of suspects was instructed to lie or tell the truth to a set of questions, and a group of polygraph experts, along with the polygraph (lie detector

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Chapter 7 Sets Probability

Use a Venn diagram to shade in the region corresponding to the indicated set.a.) B ? A?. Use a Venn diagram to shade in the region corresponding to the indicated set.b.) B ? ? (A? ? C ?). Use a Venn diagram to shade in the region corresponding to the indicated set.c.) A ? (B ? C) ?. A

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Chapter 7: Normal Probability Distributions

Chapter 7: Normal Probability Distributions. In Chapter 7:. 7.1 Normal Distributions 7.2 Determining Normal Probabilities 7.3 Finding Values That Correspond to Normal Probabilities 7.4 Assessing Departures from Normality. § 7.1: Normal Distributions.

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Chapter 7 Sets and Probability

What is a Set?. A set is a well-defined collection of objects in which it is possible to determine whether or not a given object is included in the collection.Example: The letters of the Alphabet. The Vocabulary of Sets. Each object in the set is referred to as an element or member of the set.

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Chapter 7 Sets Probability

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Chapter 7 Logic, Sets, and Counting

Chapter 7 Logic, Sets, and Counting. Section 3 Basic Counting Principles. 7.3 Basic Counting Principles. In this section, we will see how set operations play an important role in counting techniques. Opening Example . To see how sets play a role in counting, consider the following example:

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Chapter 7 Sets & Probability

Chapter 7 Sets & Probability. Section 7.2 Applications of Venn Diagrams. Shade the region corresponding to A   B . A. B. Shade the region corresponding to A   B . Step 1: Shade the region corresponding to A . . A. B. Shade the region corresponding to A   B .

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Chapter 7 Sets & Probability

Chapter 7 Sets & Probability. Section 7.6 Bayes’ Theorem. Tree Diagram for Two Events, E and F. Bayes’ Theorem (Special Case – Two Events). Bayes’ Theorem Three or more events).

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Chapter 7: Probability

Chapter 7: Probability. 7.1 Randomness, probability, and simulation. Deck of Cards. How many cards are in a deck? Four suites-spades, hearts, clubs, and diamonds-hearts and diamonds are red, clubs and spades are black 13 cards in each suite-ace, 2-10, jack, queen, king

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Chapter 7: Probability

Chapter 7: Probability. Lesson 1: Basic Principles of Probability Mrs. Parziale. Vocabulary. Experiment : a situation that has several possible results Outcomes : results of an experiment Sample space : the set of all possible outcomes Event : subset of the sample space

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Chapter 7: Probability

Chapter 7: Probability. Lesson 5: Independent Events Mrs. Parziale. Vocabulary:. Independent events : the results of one event do not affect the results of the other event. Events A and B are independent events IFF P(A B)=P(A) • P(B)

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Chapter 7 Probability

Chapter 7 Probability. Practice Lessons 1-4 And Ch 8 less 6 Mrs. Parziale. Sample Spaces and Outcomes. A fair coin is flipped three times. Write out all possible outcomes that make up the sample space. Remember, order does matter. Save your sample space for the next problem.

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Chapter 7 Sets & Probability

Chapter 7 Sets & Probability. Section 7.4 Basic Concepts of Probability. To determine the probability of the union of two events E and F in a sample space S , we must use the Union Rule for Probability, which is based on the Union Rule for Sets. Union Rule for Probability

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Chapter 7 Logic, Sets, and Counting

Chapter 7 Logic, Sets, and Counting. Section 1 Logic. Logic .

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Chapter 7 Sets & Probability

Chapter 7 Sets & Probability. Section 7.3 Introduction to Probability. Why use probability? . A great many problems that come up in the applications of mathematics involve random phenomena – those for which exact prediction is impossible.

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Chapter 7 Probability

Chapter 7 Probability. 7.1 From Data to Probability. In a call center, what is the probability that an agent answers an easy call? An easy call can be handled by a first-tier agent; a hard call needs further assistance Two possible outcomes: easy and hard calls Are they equally likely?.

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Chapter 7 Logic, Sets, and Counting

Chapter 7 Logic, Sets, and Counting. Section 3 Basic Counting Principles. Learning Objectives for Section 7.3 Basic Counting Principles. The student will be able to apply and use the addition principle. The student will be able to draw and interpret Venn diagrams.

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Chapter 7 Sets and Probability

Chapter 7 Sets and Probability . Section 7.1 Sets. What is a Set? . A set is a well-defined collection of objects in which it is possible to determine whether or not a given object is included in the collection. Example: The letters of the Alphabet. The Vocabulary of Sets.

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Chapter 7 Sets & Probability

Chapter 7 Sets & Probability. Section 7.2 Applications of Venn Diagrams. Shade the region corresponding to A   B. A. B. Shade the region corresponding to A   B. Step 1: Shade the region corresponding to A . A. B. Shade the region corresponding to A   B.

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Chapter 7: Probability

7.1 Randomness, Probability, and Simulation. Chapter 7: Probability. Definitions. Random-individual outcomes are uncertain, but given a large number of repetitions, a regular distribution appears Probability Experiment-action through which counts, measures, or responses are obtained

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Chapter 7: PROBABILITY

Chapter 7: PROBABILITY. “When you deal in large numbers, probabilities are the same as certainties. I wouldn’t bet my life on the toss of a single coin, but I would, with great confidence, bet on heads appearing between 49 % and 51 % of the throws of a coin if the number of tosses was 1 billion.”

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