|Ψ2| is absolute squared value of wave function in 1 dimension. Wave equation shows us the wave that is produced by a particle in a place (here: box). Wave equation also shows us the position of that particle in a box. So, if you want to search the highest probability of a particle in a box in range of a to b, it also means you have to determine its area by integrate the equation. See the expression as follows:
Now how to calculate that probability?
First, you have to know the general form of a Wave Equation as follows:
Second, the order is: you have to find the probability of a particle in a box at ground state (n=1) from 1.50 nm until 2.05 nm that has length of 13 nm.
So let the party begin!
Now you have the right equation to calculate the question above!