Let [math]X[/math] be a random variable with density function [math]f_X[/math]. The mode of [math]X[/math] is the value [math]M[/math] for which [math]f(M)[/math] is maximum. Then values of [math]X[/math] near [math]M[/math] are most likely to occur. Find [math]M[/math] if [math]X[/math] is distributed normally or exponentially, as in Exercise. What happens if [math]X[/math] is distributed uniformly?