Warm Up A manufacturer of bowling balls produces a ball with a mean weight of 9 pounds and a standard deviation of 0.2 pounds. The bowling balls are shipped.

Slides:

Advertisements

Similar presentations

American Football. The Field, Time of Game, and Players.

Advertisements

Chapter 16 Part 4 CONTINUOUS RANDOM VARIABLES. When two independent continuous random variables are Normally distributed, so is their sum or difference.

Rules for Means and Variances

Chapter 7 Review.

Fantasy Football By: Carson Barnette. Fantasy Football Fantasy football is a game based on the performance of NFL players How do you play? What does this.

Find the indicated z score: z = Find the indicated z score:.6331 z 0 z = –

Multiple Choice Review

Active Learning Lecture Slides For use with Classroom Response Systems Probability Distributions.

By Skye Smith. End zone: the area between the end line and goal line bounded by the sidelines, which a team on offense tries to enter to score a touchdown.

Flag Football Springboro Junior High. Positions Quarterback- The player who throws the ball to other players on the team. Receivers- The players who go.

Unit 4 Starters. Starter Suppose a fair coin is tossed 4 times. Find the probability that heads comes up exactly two times.

Statistics: Concepts and Controversies Normal Distributions

Chapter 6 The Standard Deviation as a Ruler and the Normal Model.

Multiple Choice Review Chapters 5 and 6. 1) The heights of adult women are approximately normally distributed about a mean of 65 inches, with a standard.

7.2 Means and variances of Random Variables (weighted average) Mean of a sample is X bar, Mean of a probability distribution is μ.

A life insurance company sells a term insurance policy to a 21-year-old male that pays $100,000 if the insured dies within the next 5 years. The probability.

Unit 4 Review problems. Let’s review a little… A sample of 6 science scores is taken from all of the science scores in SEHS. Find the standard deviation.

Review over integers. Please select a Team. 1.Team 1 2.Team 2 3.Team 3 4.Team 4 5.Team 5.

The Practice of Statistics Third Edition Chapter 7: Random Variables Copyright © 2008 by W. H. Freeman & Company Daniel S. Yates.

AP Statistics, Section 7.2, Part 1 2  The Michigan Daily Game you pick a 3 digit number and win $500 if your number matches the number drawn. AP Statistics,

Integer Football Welcome to Integer Football!

Chapter 3 Review Bingo. Zero Property Commutative Identity (One) Associative ,000 5, ,000 2x2x2x2x2x2x2 42,000 7,076 7x7 3,

CHECK HW ANSWERS 1.The range of the highest and lowest temperature in Calgary is 33 °C. 2.The basketball team lost by an average of 8 points per game.

Chapter 7.2. The __________ of a discrete random variable, X, is its _________ _____________. Each value of X is weighted by its probability. To find.

Normal Distribution A common way that measured data is distributed. It is measured with the MEAN and STANDARD DEVIATION Symmetrical graph The Relative.

Chapter 131 Normal Distributions. Chapter 132 Thought Question 2 What does it mean if a person’s SAT score falls at the 20th percentile for all people.

The Normal Distribution Chapter 2 Continuous Random Variable A continuous random variable: –Represented by a function/graph. –Area under the curve represents.

1 Copyright © 2014, 2012, 2009 Pearson Education, Inc. Chapter 5 The Standard Deviation as a Ruler and the Normal Model.

Chapter 7: Random Variables 7.2 – Means and Variance of Random Variables.

Math 21 Midterm Review Part 2: Chapters 5-7.

A life insurance company sells a term insurance policy to a 21-year-old male that pays $100,000 if the insured dies within the next 5 years. The probability.

Lecture #19 Tuesday, October 25, 2016 Textbook: Sections 12.3 to 12.4

Chapter 6 Extra Review.

Random Variables Review Game

Warm Up A manufacturer of bowling balls produces a ball with a mean weight of 9 pounds and a standard deviation of 0.2 pounds. The bowling balls are shipped.

Warm Up A recent study found that 79% of U.S. teens from years old use Snapchat. Suppose samples of 100 U.S. teens from years old are taken.

Warm Up An analysis of Algebra 2 quiz scores found the probability of students to achieve the following scores (max points is 12). Score

Lesson 8 Section 6.2—Linear Transformations and Combining Normal Random Variables.

Means and Variances of Random Variables

Do Now You will need one of the following: HW:

Empirical Rule Rule Ch. 6 Day 3 AP Statistics

Normal Distribution.

Mean & variance of random variables

Warm Up Serena Williams and Novak Djokovic both competed at the US Open for tennis last week. Serena can serve a ball at 121 mph while Novak can serve.

Probability Bingo Two dice will be thrown.

Warm Up The weights of babies born in the “normal” range of weeks have been found to follow a roughly normal distribution. Mean Std. Dev Weight.

The Game of Football.

How to play indoor soccer

Counting Methods and Probability Theory

Warm Up A business has six customer service operators available to talk with customers. Let X denote the number of operators busy with a customer at a.

Discrete Distributions

Warm Up Your textbook provides the following data on the height of men and women. Mean Std. Dev Men Women ) What is the z score.

Below is a density curve. The height of the density curve is

Warm Up ASB has randomly sampled 150 students at Leland about their opinion on Spirit Week before finals. 47.3% of the students sampled said it is a good.

Can You Score on Every Play?

Fitting to a Normal Distribution

Normal Distributions.

The Normal Distribution

Counting Methods and Probability Theory

3 Week Exam Review Simplify:

Combining Random Variables

Warm-Up Algebra 2 Honors 3/25/19

Z-Scores 10/13/2015 Statistics Mr. DeOms

Odds and Evens Here is a set of numbered balls used for a game:

Normal Distribution.

Warm Up Data on the tipping percentage at 20 restaurant tables is shown below (from the study “Beauty and the Labor Market” in 2007)

Warm Up Pick the correct statement Group A 2, 1, 4, 8, 5, 4

Warm Up Your textbook provides the following data on the height of men and women. Mean Std. Dev Men Women ) What is the z score.

Warm Up The weights of babies born in the “normal” range of weeks have been found to follow a roughly normal distribution. Mean Std. Dev Weight.

Presentation transcript:

Warm Up A manufacturer of bowling balls produces a ball with a mean weight of 9 pounds and a standard deviation of 0.2 pounds. The bowling balls are shipped in boxes of 4 each. 1) Find the mean weight for a box of bowling balls. 2) Find the standard deviation of the weight of a box of bowling balls.

Example The following data on SAT scores was released by the College Board in 2018: Math Mean = 531 Std Dev = 95 Verbal Mean = 536 Std Dev = 105 1) Find the mean combined (Math and Verbal) SAT score. 2) Find the standard deviation of the combined (Math and Verbal) SAT score.

Practice The concession stand at the theater sells popcorn and soda. The probability distribution for the number of popcorn boxes and sodas a customer orders is shown below. Popcorn 0 1 2 3 4 Probability .12 .16 .34 .24 .14 Soda 0 1 2 3 Probability .18 .34 .38 .10 1) Find the mean number of items a customer orders. 2) Find the standard deviation of the number of items a customer orders.

Chapter 5 Quiz Retake 1) If your score was less than 18/23 (78%) you can retake the quiz to try to improve your score. You must retake the quiz during tutorial before Thanksgiving break. Nov. 14 - 20 are the dates to retake the quiz. 2) If your score on the retake is higher you can keep your new score. 3) The maximum score on the retake is 18/23 (78%).

Example A manufacturer of bowling balls produces a ball with a mean weight of 9 pounds and a standard deviation of 0.2 pounds. The bowling balls are shipped in boxes of 4 each. Assume the weights of the bowling balls are normally distributed and independent. The shipping company will only accept boxes of less than 37 pounds. What is the probability that some of the company’s boxes will be over 37 pounds?

Practice #1 Tom and George bowl together. Assume their scores are independent and both follow a normal distribution. Mean Std Dev Tom 214 11 George 205 14 1) Find the mean of the difference in their scores (Tom’s score – George’s score). 2) Find the standard deviation of the difference in their scores. 3) What is the probability George will beat Tom?

Practice #2 Previously we found the following data for the heights of men and women in inches. Assume both distributions are normal and independent. Mean Std Dev Men 69 2.5 Women 65 2.5 Imagine a group of men and women are speed dating, where men and women are paired together for a 5 minute “date” before moving on to another partner. What is the probability the man is shorter than the woman in a randomly selected speed date?

Activity – Fantasy Football Fantasy football has been popular for years. The idea of the game is you pick a “team” of players and, based on the actual games that week, see how many “points” your team scores. You can play against an individual or in a tournament against many teams at once. We will consider a simplified version of fantasy football today. You will pick a team consisting of: 1 Quarterback 1 Running Back 1 Receiver

Activity – Fantasy Football Fantasy football games come in many versions. We will consider a multi-player game (30-60 players) where the team with the most points wins and all other teams lose. Assume from past experience it usually takes 35 points to win one of these games. Players earn points by gaining yards and scoring touchdowns in their actual games. They lose points for interceptions and fumbles. Choose a team from the options on the next slide that gives you the best chance of winning this multi-player game.

Activity – Fantasy Football Quarterback Mean SD Running Back Mean SD P. Mahomes 9.6 2.1 Todd Gurley 7.7 2.6 Kirk Cousins 8.8 2.4 James Connor 7.2 3.1 Drew Brees 8.1 3.7 Ezekiel Elliott 6.5 3.8 Receiver Mean SD Choose 1 of each type. D. Hopkins 8.8 1.8 Assume all players have a Julio Jones 8.0 2.3 normal distribution for Odell Beckham 7.7 3.5 points and points are independent. Which team has the best chance to score at least 35 points so you can win in fantasy football?