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AP STATISTICS Chapter 7 – Homework Random Variables and Probability Distributions HW# 1 Objective • • 2 • • • • • 3 • • • • 4 • • • • Understand the definition of a random variable. Be able to distinguish between discrete and continuous random variables given verbal or symbolic descriptions of probabilistic scenarios. Understand the definition of a discrete random variable. Understand properties of discrete random variables. Be able to represent probability distributions of discrete random variables using tables, formulae, or histograms. Be able to interpret table, formula, or histograms when used as representations of probability distributions of discrete random variables. Be able to calculate probabilities such as P(x < a), P(a ≤ x ≤ b), P(x ≥ a). Understand the definition and properties of continuous random variables. Be able to represent probability distributions of continuous random variables using formulae or function definitions. Be able to interpret formulaic or graphic representations of probability distributions of continuous random variables. Be able to calculate probabilities such as P(x < a), P(x ≥ a), P(a ≤ x ≤ b). Understand the definition of the mean and standard deviation of a discrete random variable. Be able to calculate the mean and standard deviation of a discrete random variable. Be able to calculate the mean and standard deviation of a linear function of a random variable. Be able to calculate the mean and standard deviation of a simple linear combination of two independent random variables. Section Reading 7.1 357-360 7.2 361-365 Homework Problems p. 360 # 1,3,4,5 p. 365 # 9,11,15,16 # 12,13,14 as a class 7.3 367-370 p. 371 # 2126 7.4 372-383 p. 383 # 27 (review) # 44 as a class p. 383 # 27,29,30,33,3 4,35,40,43, Due Date Questions AP STATISTICS Chapter 7 – Homework Random Variables and Probability Distributions 5 • • • • 6 • • • 7 8 Understand the definition and properties of the binomial and geometric random variables. Be able to use the appropriate formula to calculate the probability of a possible value of a binomial random variable. Be able to calculate the mean and standard deviation of a binomial random variable. Be able to use the appropriate formula to calculate the probability of a possible value of a geometric random variable. Describe the general shape of a normal distribution. Understand the definition of a standard normal distribution. Be able to find tail and interior probabilities in a normal distribution using the standard normal tables. • Be able to use the normal probability plot to assess approximate normality. • Have a sense of how the normal probability plot helps to determine the credibility of approximate normality for a distribution. • Be able to find probabilities using the normal approximation to the binomial. Review 7.5 386-392 p. 395 Binomial # 45,47,51,53,5 5,56,60 Geometric # 61-63 7.6 405-412 7.7 414-417 7.8 425-428 430-431 Day 1 p. 412 # 65,67,68,69,7 0,71 Day 2 p. 413 # 73,76,77, 79,80 81-83,85 We will discuss as part of Chapter 9. 103 – 123 odd as needed for your review.