Calculate the probability that the particle's x coordinate

[Frankenstein19]

Homework Statement

For a 1.0 × 10-26 g particle in a box whose ends are at x = 0 and x = 2.000 Å, calculate the probability that the particle's x coordinate is between 1.6000 and 1.6001 Å if n=1

Homework Equations

The Attempt at a Solution

I know that since the interval between 1.6000 and 1.6001 is small it can be considered infinitesimal so dx is 0.0001 and we can use |of the state function|^2dx as an approximation (I know the working is probably wrong, feel free to correct me) I know that since the box's ends are at x=0 and x=2.000Å then a which is the length of the box is 2.000Å
What I'm confused about is x, I was stuck and saw a partial chegg solution saying x was 1.6, which I don't get.

 

[mfb]

Use units for x and a, then you directly see if you do the right thing.

 

[Frankenstein19]

Use units for x and a, then you directly see if you do the right thing.

I'm sorry, but I don't understand what you mean.

 

[ehild]

The end of the box are at x1=0 A^˝/SUP]

I'm sorry, but I don't understand what you mean.

The ends of the box are at x1=0.0 A° and at x2 = 2.000 A°. You need the value of the wavefunction at x≈1.6 A°.