1. Let X be a random variable with probability density function
f(x)=c(1-x^2): -10 elsewhere
a) What is the value of c?
b) What is the cumulative distribution function of X?
2. What can be said about the estimated slope coefficient for a regression of Y on X, versus the estimated slope coefficient for a regression of X on Y?
a) The slopes are reciprocals
b) The slopes are not reciprocals
c) The slopes are the negative of each other
d) The slopes are identical