Chapter 10, Problem 10.61E

In a plot of ${\left|\Psi \right|}^2$, the maximum (maxima) in the plot is/are called the most probable position(s). What is/are the most probable position(s) for a particle-in-a-box when:

(a) $n=1$

(b) $n=2$

(c) $n=3$

(d) Do you see a trend?