1. The problem statement, all variables and given/known data Given the distribution function: f(x) = A*sin^2(pi*x/L) for 0 < x < L = 0 for x elsewhere Find the values for: A, mean x (x), most probable x (xmp) and root mean square x (xrms) 2. Relevant equations 3. The attempt at a solution The professor has not shown us how to do a problem like this. So I am lost. My guess at solving A would be to take the integral of f(x) and set it equal to 1. But I do not know what limits I should use on the integral (0 to inf or 0 to L?). I think the most probable x would be + or - 1 standard deviation from the mean value? I don't know how to solve for that either. Thanks in advance for the help!