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Chapter 6 Syllabus Do more problems if necessary. Show all work and check your answers. Day 1 2 3 Topics Chapter 6 Introduction, 6.1 Discrete random Variables, Mean (Expected Value) of a Discrete Random Variable 6.1 Standard Deviation (and Variance) of a Discrete Random Variable, Continuous Random Variables 6.2 Linear Transformations Objectives: Students will be able to… Use a probability distribution to answer questions about possible values of a random variable. Calculate the mean of a discrete random variable. Interpret the mean of a random variable. Calculate the standard deviation of a discrete random variable. Interpret the standard deviation of a random variable. Calculate the mean and standard deviation of a binomial random variable. Interpret these values in context. 8 6.3 Geometric Random Variables Find probabilities involving geometric random variables. 9 10 Chapter 6 Review Chapter 6 Test Review Section 6.3 6 7 Read 358-363 Do p. 356 #27-30 and p. 378 #37, 39-41, 43, 45 Read 390-397 Do p. 404 #79, 81, 83, 85, 87, 89 6.3 Binomial Settings and Binomial Random Variables, Binomial Probabilities Day 5 Continued 6.3 Mean and Standard Deviation of a Binomial Distribution, Binomial Distributions in Statistical Sampling 5 Read 346-352 Do p. 354 #14, 18, 19, 23, 25 Read 382-389 Do p. 381 #61, 65, 66 and p. 403 #69, 71, 73, 75, 77 Do p. 403 #70-80 Evens Read 341 -346 Do p. 353 #1, 5, 7, 9, 13 Describe the effects of transforming a random variable by adding or subtracting a constant and multiplying or dividing by a constant. Find the mean and standard deviation of the sum or difference of independent random variables. Determine whether two random variables are independent. Find probabilities involving the sum or difference of independent Normal random variables. Determine whether the conditions for a binomial random variable are met. Compute and interpret probabilities involving binomial distributions. Quiz 5.1-5.2 6.2 Combining Random Variables, Combining Normal Random Variables 4 Homework Read 364-375 Do p. 379 #49, 51, 5759, 63 Read 397-401 Do p. 405 #93, 95, 97, 99, 101-103 Do p. 408 # R6.1-R6.8