STATISTIK LECTURE: AL MUIZZUDDIN F., SE., ME.. Key Concept In this section we present three different approaches to finding the probability of an event.

Slides:

Advertisements

Similar presentations

Designing Investigations to Predict Probabilities Of Events.

Advertisements

LECTURE#2 Refreshing Concepts on Probability

1 Press Ctrl-A ©G Dear2009 – Not to be sold/Free to use Tree Diagrams Stage 6 - Year 12 General Mathematic (HSC)

Chapter 12 Probability © 2008 Pearson Addison-Wesley. All rights reserved.

Describing Probability

Probability of two events Example A coin is tossed twice. Draw a probability sample space diagram showing all the possible outcomes. What is the probability.

EXAMPLE 1 Construct a probability distribution

EXAMPLE 1 Construct a probability distribution Let X be a random variable that represents the sum when two six-sided dice are rolled. Make a table and.

UNR, MATH/STAT 352, Spring Random variable (rv) – central concept of probability theory Numerical description of experiment.

Bell Work: Factor x – 6x – Answer: (x – 8)(x + 2)

Section 5.2 The Addition Rule and Complements

Discrete Random Variables: PMFs and Moments Lemon Chapter 2 Intro to Probability

16/4/1435 h Sunday Lecture 2 Sample Space and Events Jan

Probabilistic & Statistical Techniques Eng. Tamer Eshtawi First Semester Eng. Tamer Eshtawi First Semester

Simple Mathematical Facts for Lecture 1. Conditional Probabilities Given an event has occurred, the conditional probability that another event occurs.

Collecting Baseball CD-ROMs 1.AL Central 2.AL West 3.AL East 4.NL East 5.NL Central 6.NL West Outcome Space How many boxes of cereal must I buy, on average,

4.1 Probability Distributions. Do you remember? Relative Frequency Histogram.

CALCULATE THE PROBABILITY OF AN EVENT. 1.ANSWER THIS QUESTION: IS THE EVENT POSSIBLE? STOP: DON’T CONTINUE. THE PROBABILITY OF THE EVENT IS O GO TO NUMBER.

1.4 Equally Likely Outcomes. The outcomes of a sample space are called equally likely if all of them have the same chance of occurrence. It is very difficult.

EXAMPLE 1 Independent and Dependent Events Tell whether the events are independent or dependent. SOLUTION You randomly draw a number from a bag. Then you.

Slide 5-1 Chapter 5 Probability and Random Variables.

The Wonderful World… of Probability. When do we use Probability?

5.1 Randomness  The Language of Probability  Thinking about Randomness  The Uses of Probability 1.

Probability Basics Section Starter Roll two dice and record the sum shown. Repeat until you have done 20 rolls. Write a list of all the possible.

Section 7.2.  Mutually Exclusive: pulling a jack or queen card from the deck P(a U b) = P(a) + P(b) In general, Reminder  U means union means intersection.

Basic Concepts of Probability

Objective  Find the experimental probability that an event will occur.

Express as a fraction the probability that the outcome for rolling two number cubes has a sum less than 7. Probability COURSE 3 LESSON 6-9 Make a table.

9-7Independent and Dependent Events 9-7 Independent and Dependent Events (pg ) Indicator: D7.

What is the probability of two or more independent events occurring?

Unit 4 Section 3.1.

Unit 4: Probability Day 2: Basic Probability. Standards and Benchmarks Select and apply counting procedures, such as the multiplication and addition.

Probability Experiments Probability experiment An action, or trial, through which specific results (counts, measurements, or responses) are obtained. Outcome.

3.4 Elements of Probability. Probability helps us to figure out the liklihood of something happening. The “something happening” is called and event. The.

Math 145 September 18, Terminologies in Probability  Experiment – Any process that produces an outcome that cannot be predicted with certainty.

Probability and Simulation The Study of Randomness.

1 Lecture 4 Probability Concepts. 2 Section 4.1 Probability Basics.

Experiments, Outcomes and Events. Experiment Describes a process that generates a set of data – Tossing of a Coin – Launching of a Missile and observing.

ROLL A PAIR OF DICE AND ADD THE NUMBERS Possible Outcomes: There are 6 x 6 = 36 equally likely.

Math 1320 Chapter 7: Probability 7.3 Probability and Probability Models.

2-6 Probability Theoretical & Experimental. Probability – how likely it is that something will happen – Has a range from 0 – 1 – 0 means it definitely.

Counting and Probability. Imagine tossing two coins and observing whether 0, 1, or 2 heads are obtained. Below are the results after 50 tosses Tossing.

Intro. Exponents and Logarithms RadicalsTriangle TrigUnit CircleTrig GraphsProbability Board.

Discrete Math Section 16.1 Find the sample space and probability of multiple events The probability of an event is determined empirically if it is based.

Conditional Probability 423/what-is-your-favorite-data-analysis-cartoon 1.

Terminologies in Probability

Math 145 September 25, 2006.

Finding the Complement of Event E AGENDA:

LECTURE: AL MUIZZUDDIN F., SE., ME.

Probability Probability measures the likelihood of an event occurring.

Terminologies in Probability

Lesson 10.1 Sample Spaces and Probability

Lecture 22 Section 7.1 – Wed, Oct 20, 2004

Binomial Distributions

Terminologies in Probability

Write each fraction in simplest form

Terminologies in Probability

Warm Up Imagine you are rolling 2 six-sided dice. 1) What is the probability to roll a sum of 7? 2) What is the probability to roll a sum of 6 or 7? 3)

Lecture 23 Section Mon, Oct 25, 2004

Chapter 4 Section 1 Probability Theory.

Terminologies in Probability

Probability of two events

Probability and Counting

Math 145 June 26, 2007.

Terminologies in Probability

Math 145 February 12, 2008.

Terminologies in Probability

Chapter 11 Probability.

Presentation transcript:

STATISTIK LECTURE: AL MUIZZUDDIN F., SE., ME.

Key Concept In this section we present three different approaches to finding the probability of an event. The most important objective of this section is to learn how to interpret probability values, which are expressed as values between 0 and 1. 2

Basics of Probability 3

4

Jenis Probabilitas 5

Lanjut.. 6

7

8

9

CONTOH SOAL 10

11

12

13

14

15

16

17

18

Identify the sample space of the probability experiment and determine probability the number of outcomes in the event. Procedure: tossing four coins – Event: getting three heads, getting two non-heads Procedure: rolling 2 six-sided dice – Event: getting a sum of 4 or 5 19

20