Section 6.2 Binomial Probability Distribution

Slides:

Advertisements

Similar presentations

Discrete Probability distributions

Advertisements

6.2 Construct and Interpret Binomial Distributions

Section 5.2 The Binomial Distribution

1 Set #3: Discrete Probability Functions Define: Random Variable – numerical measure of the outcome of a probability experiment Value determined by chance.

Binomial Distributions

Chapter 8 Binomial and Geometric Distributions

5-3 Binomial Probability Distributions

Binomial Distributions

The Binomial Distribution. Introduction # correct TallyFrequencyP(experiment)P(theory) Mix the cards, select one & guess the type. Repeat 3 times.

The Binomial Probability Distribution

Kate Schwartz & Lexy Ellingwood CHAPTER 8 REVIEW: THE BINOMIAL AND GEOMETRIC DISTRIBUTIONS.

Section 5-3 Binomial Probability Distribution. BINOMIAL PROBABILITY DISTRTIBUTION 1.The procedure has a fixed number of trials. 2.The trials must be independent.

Lesson 6 – 2b Hyper-Geometric Probability Distribution.

Unit 6 – Data Analysis and Probability

Binomial Distributions

Binomial Distributions

Chapter Six Discrete Probability Distributions

Normal Distribution as Approximation to Binomial Distribution

Notes – Chapter 17 Binomial & Geometric Distributions.

BINOMIAL DISTRIBUTION Success & Failures. Learning Goals I can use terminology such as probability distribution, random variable, relative frequency distribution,

Section 5-3 Binomial Probability Distributions. BINOMIAL PROBABILITY DISTRTIBUTION 1.The procedure has a fixed number of trials. 2.The trials must be.

Warm-up Grab a die and roll it 10 times and record how many times you roll a 5. Repeat this 7 times and record results. This time roll the die until you.

Binomial Probability Distributions

Math b (Discrete) Random Variables, Binomial Distribution.

The Binomial Probability Distribution 6-1 © 2010 Pearson Prentice Hall. All rights reserved.

The Binomial Distribution

4.2 Binomial Distributions

8.1 The Binomial Distribution

Ch. 15H continued. * -applied to experiments with replacement ONLY(therefore…..independent events only) * -Note: For DEPENDENT events we use the “hypergeometric.

At the end of the lesson, students can: Recognize and describe the 4 attributes of a binomial distribution. Use binompdf and binomcdf commands Determine.

Section Binomial Distributions For a situation to be considered a binomial setting, it must satisfy the following conditions: 1)Experiment is repeated.

Section 5-3 Binomial Probability Distributions. Binomial Probability Distribution A binomial probability distribution results from a procedure that meets.

Binomial Probability Distribution

Discrete Probability Distributions Chapter 4. § 4.2 Binomial 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.

The Binomial Probability Distribution. ● A binomial experiment has the following structure  The first test is performed … the result is either a success.

Chapter 4: Discrete Probability Distributions

Warm Up When rolling an unloaded die 10 times, the number of time you roll a 1 is the count X of successes in each independent observations. 1. Is this.

Binomial Distributions. Objectives How to determine if a probability experiment is a binomial experiment How to find binomial probabilities using the.

DG minutes 11 th graders psat info --- see board.

5-3 Binomial Distributions © 2012 Pearson Education, Inc. All rights reserved. 1 of 63.

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

1. 2 At the end of the lesson, students will be able to (c)Understand the Binomial distribution B(n,p) (d) find the mean and variance of Binomial distribution.

The Binomial Probability Distribution

MATHPOWER TM 12, WESTERN EDITION Chapter 9 Probability Distributions

Chapter 6 Normal Approximation to Binomial Lecture 4 Section: 6.6.

Discrete Probability Distributions

Binomial Distributions

Section 6.2 Binomial Distribution

Lesson 97 - Binomial Distributions

Chapter Five The Binomial Probability Distribution and Related Topics

Binomial Distributions

Bernoulli Trials and Binomial Probability models

Quiz 6.1 – 6.2 tomorrow Test 6.1 – 6.2 on Monday

Random Variables and Probability Distribution (2)

Discrete Probability Distributions

Discrete Probability Distributions

Lesson Objectives At the end of the lesson, students can:

Discrete Probability Distributions

3.4 The Binomial Distribution

Statistics 1: Elementary Statistics

Binomial Probability Distribution

Statistics 1: Elementary Statistics

Binomial Distributions

WARM UP: Solve the equation for height for an age of 25.

Bernoulli Trials Two Possible Outcomes Trials are independent.

6.1 Probability Distribution

Chapter 11 Probability.

Binomial Distribution

Presentation transcript:

Section 6.2 Binomial Probability Distribution Obj: Identify and construct binomial distributions

Binomial Experiments Criteria Are only 2 possible outcomes The experiment has a fixed number of trials – each of which are independent The probability of a success is the same

Binomial? A single die is rolled 100 times and the outcome is recorded. Five cards are randomly drawn from a deck of 52 without replacement and the number of aces is recorded. An experimental drug is administered to 100 randomly selected individuals. The individuals with a favorable reaction was recorded.

Binomial Probability Distribution Formula to find the probability of x successes in n trials of a binomial experiment, where the probability of success is p: Given that 70% of all households have cable, in a sample of 15, what is the probability that exactly 10 have cable? what is the probability that at least 13 have cable? what is the probability that fewer than 13 have cable?

Binomial Probability Distribution (take 2) Find table II in the back of your book. Find when n = 15 and p(x) = .70. Redo the 3 problems we just did by hand. WOW!!!

Binomial Probability Distribution (take 3) On your graphing calculator, find the DISTR button. Under its menu, find binompdf( and binomcdf( If 20% of US women attended a musical in 2002, in a random sample of 15 women, 1. What is the probability that EXACTLY 5 attended a musical in 2002? 2. What is the probability that FEWER THAN 7 attended a musical in 2002?

Practice According to American Airlines, its flight 215 from Orlando to Los Angeles in on time 90% of the time. Suppose 15 flights are randomly selected and the number of on time flights is recorded. Is this a binomial experiment? What is the probability that exactly 14 of the flights are on time? What is the probability that fewer than 14 flights are on time? What is the probability that between 12 and 14 flights, inclusive, are on time?

Mean and Standard Deviation To find the mean of a binomial random variable To find the standard deviation of a binomial random variable

Practice For that same flight from Orlando, compute the mean and standard deviation of on-time flights in 100 trials of the probability experiment.

Compute these probabilities. n = 10, p = 0.4, x = 3 0.2150 n = 50, p = 0.02, x = 3 0.0607 n = 9, p = 0.2, x < 3 0.9144 n = 20, p = 0.7, x > 12 0.8867

Compute the mean and standard deviation N = 6, p = 0.3 1.8; 1.1 N = 10, p =0.2 2, 1.3 Assignment: page 340 19, 25, 27, 30, 31, 36 – 42, 44 – 48