Most probable position of electron in an infinitely deep square well

[princejan7]

Homework Statement

An electron in an infinitely deep square well has a wave function that is given by
http://postimg.org/image/s159u7ynt/

What are the most probable positions of the electron?

The Attempt at a Solution

I got the values as L/6, L/2, 5L/6 by finding the x values that made the wave function squared max( so the values that made the sin term=1)But the solution says L/4, L/2 and 3L/4 ?
thanks

 

[TSny]

I got the values as L/6, L/2, 5L/6 by finding the x values that made the wave function squared max( so the values that made the sin term=1)

Your answer looks correct to me. The answer given as the solution (L/4, L/2, 3L/4) is incorrect.