You roll a 6-sided die repeatedly. Starting with roll i = 1, let Ri denote the result of roll i. If Ri > i, t hen you will roll again; otherwise you stop. Let N denote t he number of rolls. (a) What is P [N > 3]? (b) F ind the PlVIF of J\T.

Statistical Reasoning and Practice Week 1 8/31/16 Big Picture: - Data teaches us about the world - There is natural variation in data But if variation is random, we can reduce it by increasing sample size - We then model variation and measure probability and error - We want to use random sampling and assignments to be able to make inferences about the world Basic terms: - Population: the group of people/things of interest - Sample: the subset of the population from which you get data (since you cannot measure an entire population) - Parameter (population parameter): this value summarizes/measures a characteristic of the population - Statistic (sample statistic): this value summarizes/measures a characteristic of the sample data and estimates