Let (X, Y ) be a uniformly random point in the triangle in the plane with vertices (0, 0),(0, 1),(1, 0). Find the joint PDF of X and Y , the marginal PDF of X, and the conditional PDF of X given Y .

Week 10 8 November 2016 Basic Statistics for Research Professor HK Dong Wendy Liu Population Margin of Error: Conservative margin of error: use Sample size needed to obtain certain margin of error: Statistical methods Descriptive statistics Inferential statistics o Estimation (confidence intervals) o Hypothesis testing Hypothesis testing – inferential procedure that uses sample data to evaluate the credibility of a hypothesis about the population H a alternative hypothesis Research hypothesis you wish to establish H 0 null hypothesis Nullifies the research hypothesis 1. State the hypothesis 2. Define the decision method 3. Gather data 4. Make a decision a. Reject the H 0