AP Statistics Section 8.2: The Geometric Distribution.

Slides:

Advertisements

Similar presentations

AP Statistics 51 Days until the AP Exam

Advertisements

If X has the binomial distribution with n trials and probability p of success on each trial, then possible values of X are 0, 1, 2…n. If k is any one of.

STA291 Statistical Methods Lecture 13. Last time … Notions of: o Random variable, its o expected value, o variance, and o standard deviation 2.

The Practice of Statistics

QBM117 Business Statistics Probability Distributions Binomial Distribution 1.

The Bernoulli distribution Discrete distributions.

+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 6: Random Variables Section 6.3 Binomial and Geometric Random Variables.

Statistics Lecture 11.

Binomial & Geometric Random Variables

6.1 Random Variables Random variable – variable whose value is a numerical outcome of a random phenomenon. Discrete – countable number of number of.

Chapter 8 Binomial and Geometric Distributions

381 Discrete Probability Distributions (The Binomial Distribution) QSCI 381 – Lecture 13 (Larson and Farber, Sect 4.2)

Lesson 6 – 2b Hyper-Geometric Probability Distribution.

+ The Practice of Statistics, 4 th edition – For AP* STARNES, YATES, MOORE Chapter 8: Binomial and Geometric Distribution Section 8.2 Geometric Distributions.

CHAPTER 6 Random Variables

Binomial & Geometric Random Variables §6-3. Goals: Binomial settings and binomial random variables Binomial probabilities Mean and standard deviation.

1 Chapter 8: The Binomial and Geometric Distributions 8.1Binomial Distributions 8.2Geometric Distributions.

AP Statistics Section 8.1: The Binomial Distribution.

Chapter 8 Binomial and Geometric Distributions

AP Statistics: Section 8.2 Geometric Probability.

P. STATISTICS LESSON 8.2 ( DAY 1 )

Bernoulli Trials Two Possible Outcomes –Success, with probability p –Failure, with probability q = 1  p Trials are independent.

Chapter 17: probability models

The Binomial Distribution

AP Statistics Chapter 8 Notes. The Binomial Setting If you roll a die 20 times, how many times will you roll a 4? Will you always roll a 4 that many times?

King Saud University Women Students

Objective: Objective: To solve multistep probability tasks with the concept of geometric distributions CHS Statistics.

AP Statistics Section 14.. The main objective of Chapter 14 is to test claims about qualitative data consisting of frequency counts for different categories.

8.2 The Geometric Distribution. Definition: “The Geometric Setting” : Definition: “The Geometric Setting” : A situation is said to be a “GEOMETRIC SETTING”,

Lesson 6 – 2c Negative Binomial Probability Distribution.

AP Statistics Semester One Review Part 2 Chapters 4-6 Semester One Review Part 2 Chapters 4-6.

Lec. 08 – Discrete (and Continuous) Probability Distributions.

4.3 More Discrete Probability Distributions NOTES Coach Bridges.

+ Binomial and Geometric Random Variables Geometric Settings In a binomial setting, the number of trials n is fixed and the binomial random variable X.

AP STATISTICS Section 7.1 Random Variables. Objective: To be able to recognize discrete and continuous random variables and calculate probabilities using.

Notes – Chapter 17 Binomial & Geometric Distributions.

1 7.3 RANDOM VARIABLES When the variables in question are quantitative, they are known as random variables. A random variable, X, is a quantitative variable.

Section 5.2: PROBABILITY AND THE NORMAL DISTRIBUTION.

Chapter 6: Random Variables

Team Assignment 6 An optical inspection system is used to distinguish among different part types. The probability of a correct classification is 0.98.

MATH 2311 Section 3.3.

Section 6.3 Geometric Random Variables. Binomial and Geometric Random Variables Geometric Settings In a binomial setting, the number of trials n is fixed.

Unit 4 Review. Starter Write the characteristics of the binomial setting. What is the difference between the binomial setting and the geometric setting?

Introduction We have been looking at Binomial Distributions: A family has 3 children. What is the probability they have 2 boys? A family has 3 children.

Geometric Distributions Section 8.2. The 4 “commandments” of Geometric Distributions Only 2 outcomes for each trial: success or failure. Only 2 outcomes.

Warm Up Describe a Binomial setting. Describe a Geometric setting. When rolling an unloaded die 10 times, the number of times you roll a 6 is the count.

AP Statistics Chapter 8 Section 2. If you want to know the number of successes in a fixed number of trials, then we have a binomial setting. If you want.

8.2 The Geometric Distribution 1.What is the geometric setting? 2.How do you calculate the probability of getting the first success on the n th trial?

CHAPTER 6 Random Variables

MATH 2311 Section 3.3.

Negative Binomial Experiment

Binomial and Geometric Random Variables

CHAPTER 6 Random Variables

Chapter Six Normal Curves and Sampling Probability Distributions

The Binomial and Geometric Distributions

Section 8.2: The Geometric Distribution

Section 6.2 Probability Models

Section 3: Estimating p in a binomial distribution

Section 8.2 Geometric Distributions

8.2 The Geometric Distribution

MATH 2311 Section 3.3.

12/16/ B Geometric Random Variables.

Section 8.2 Geometric Distributions

Bernoulli Trials Two Possible Outcomes Trials are independent.

Warmup The Falcons have won 80% of their games and leading their division. Assume that the result of each game is independent. They have 9 games left.

The Geometric Distributions

Geometric Distribution

The Geometric Distribution

Chapter 8: Binomial and Geometric Distribution

MATH 2311 Section 3.3.

Presentation transcript:

AP Statistics Section 8.2: The Geometric Distribution

Objective: To be able to understand and calculate geometric probabilities. Ex. Russian Roulette Criteria for a Geoemtric Random Variable: 1.Each observation can be classified as a success or failure. 2.p is the probability of success and p is fixed. 3.The observations are independent. 4.The random variable measures the number of trials necessary to obtain the first success. (it includes the 1 st success)

123…n… …… ……

Ex. Suppose you work at a blood bank and are interested in collecting type A blood. It is known that 15% of the population is type A. Let X represent the number of donors until and including the first type A donor is found. a.Does this example meet the criteria for a geometric setting? b.Find probability that the first type A donor is the 4 th donor of the day. c.Find probability that the first type A donor is the 2 nd donor of the day. d.Find probability that the first type A donor occurs before the 4 th donor of the day.

e.Find probability that the first type A donor is at least the 5 th donor of the day. f.Complete the probability distribution for the geometric random variable X for the first 6 terms.