1 AP Statistics Chapter 6 – Random Variables Day 1 Chapter 5 Wrap-Up/ Lab Activity 2 Chapter 6 Introduction, Section 6.1 Discrete random Variables, Mean (Expected Value) of a Discrete Random Variable 3 4 5 6 Objectives: Students will be able to… Topics Section: 6.1 Standard Deviation (and Variance) of a Discrete Random Variable, Continuous Random Variables, Technology: Analyzing Random Variables on the Calculator Tutorial and Preparation for Casino Lab Casino Lab Section: 6.2 Linear Transformations Homework Reading: pp. 339-346 Strive: p. 105-108 Textbook Problems: 31, 32, 33, 34 Review of Basic Probability I can use a probability distribution to answer questions about possible values of a random variable. I can calculate the mean of a discrete random variable. I can interpret the mean of a random variable in context. Reading: pp. 346-353 Textbook Problems: 1, 5, 7 I can calculate the standard deviation of a discrete random variable. I can interpret the standard deviation of a random variable in context. Textbook Problems: 14, 18, 20, 23, Summary of previous ‘I can’ statements Textbook Problems: 9, 13, 21, 22 Summary of previous ‘I can’ statements Reading: pp. 358-377 Strive: p. 109-112 Textbook Problems: 25, 27-30 I can describe the effects of transforming a random variable by adding or subtracting a constant and multiplying or dividing by a constant. Textbook Problems: 37, 43, 45 2 7 Section: 6.2 Combining Random Variables, Combining Normal Random Variables 8 Section: 6.3 Binomial Settings and Binomial Random Variables, Binomial Probabilities, Technology: Binomial Probabilities on the Calculator 9 Section: 6.3 Mean and Standard Deviation of a Binomial Distribution, Binomial Distributions in Statistical Sampling 10 Section: 6.3 Geometric Random Variables, Technology: Geometric Probabilities on the Calculator 11 Chapter 6 Review 12 Chapter 6 Test & HW Journal is due! I can find the mean and standard deviation of the sum or difference of independent random variables. I can determine whether two random variables are independent. I can find probabilities involving the sum or difference of independent Normal random variables. Textbook Problems: 49, 51, 59, 63, 65, 66 I can determine whether the conditions for a binomial random variable are met. I can compute and interpret probabilities involving binomial distributions. Reading: pp. 382-403 Strive: p. 113-116 Textbook Problems: 69, 71, 73, 76, 78 I can calculate the mean and standard deviation of a binomial random variable. Interpret these values in context. Textbook Problems: 79, 81, 83, 85, 87, 89 I can find probabilities involving geometric random variables. Textbook Problems: 93, 95, 97, 99, 101-103 Summary of all ‘I can’ statements and concepts All HW problems should be finished prior to test Strive Book Chapter 6 should be completed prior to test Strive: p. 119-126