1. Let X be a random variable with probability density function f(x)=c(1-x^2): -1lt;xlt;1 0 elsewhere a) What is the value of c?

1. Let X be a random variable with probability density functionf(x)=c(1-x^2): -1<x<1elsewherea) 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 reciprocalsb) The slopes are not reciprocalsc) The slopes are the negative of each otherd) The slopes are identical