1. The problem statement, all variables and given/known data Let f(x) = (1 + cx)/2 for x between -1 and 1 and f(x)=0 otherwise, where c is between -1 and 1. Show that f is a density and find the corresponding cdf. Find the quartiles and the median of the distribution in terms c. 2. Relevant equations NA 3. The attempt at a solution I simply showed that this was a density by integrating f(x) from -1 to 1 and showing that this is 1. For the second part of the problem, I found the CDF to be F(x) = 1/2(x+(cx^2)/2) for -1≤x≤1. Clearly, F(x) = 0 for -1<x. However, is F(x) = 1 for x>1? In addition, I am having trouble properly interpreting the directions for finding the quartiles and median. Should my answer be a function of c? If so, how do I go about getting there? Thank you!